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Holden, Helge

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Author ID: holden.helge Recent zbMATH articles by "Holden, Helge"
Published as: Holden, H.; Holden, Helge
External Links: MGP · Wikidata · GND
Documents Indexed: 200 Publications since 1983, including 23 Books
Biographic References: 1 Publication
all top 5

Co-Authors

4 single-authored
53 Gesztesy, Fritz
36 Risebro, Nils Henrik
22 Karlsen, Kenneth Hvistendahl
19 Raynaud, Xavier
18 Høegh-Krohn, Raphael J.
17 Albeverio, Sergio A.
15 Piene, Ragni
13 Øksendal, Bernt Karsten
11 Grunert, Katrin
11 Teschl, Gerald
11 Ubœ, Jan
10 Lindstrøm, Tom L.
9 Coclite, Giuseppe Maria
9 Holden, Lars
9 Simon, Barry
9 Zhang, Tusheng S.
6 Lie, Knut-Andreas
5 Michor, Johanna
4 Hanche-Olsen, Harald
4 Nichols, Roger
4 Zhao, Zhongxin
3 Colombo, Rinaldo M.
3 Kirsch, Werner
3 Koley, Ujjwal
3 Kolsrud, Torbjörn
3 Sande, Hilde
2 Behrndt, Jussi
2 Carrillo de la Plata, José Antonio
2 Dutta, Rajib
2 Enolskiĭ, Viktor Zelikovich
2 Fenstad, Jens Erik
2 Figari, Rodolfo
2 Gimse, Tore
2 Johannesen, Steinar
2 Jost, Jürgen
2 Karper, Trygve Klovning
2 Martinelli, Fabio
2 Mebkhout, Mohammed
2 Mitrovic, Darko
2 Paycha, Sylvie
2 Röckner, Michael
2 Scarlatti, Sergio
1 Babinsky, Holger
1 Bratvedt, Frode
1 Bratvedt, Kyrre
1 Bressan, Alberto
1 Buchholz, Christian F.
1 Bulla, W.
1 Cascaval, Radu C.
1 Chen, Gui-Qiang G.
1 Clark, Steve
1 Eckhardt, Jonathan
1 Ehrnström, Mats
1 Eilbeck, John Chris
1 Frid, Hermano
1 Geronimo, Jeffrey S.
1 Gielerak, Roman
1 Gjerde, Jon
1 Gjessing, Håkon K.
1 Goldstein, Jerome Arthur
1 Grasmair, Markus
1 Gurarie, David
1 Holdahl, Runar
1 Holden, Steinar
1 Hu, Yaozhong
1 Jensen, Arne
1 Klaus, Martin
1 Kostenko, Aleksey S.
1 Latushkin, Yuri
1 Levitan, Boris Moiseevich
1 Lubich, Christian
1 Malinnikova, Eugenia
1 Marcellini, Francesca
1 Martinsen, Torgeir With
1 Munthe-Kaas, Hans Zanna
1 Pang, Peter H. C.
1 Panov, Evgeniy Yu.
1 Priuli, Fabio Simone
1 Qin, Nan
1 Saab, Elias
1 Sadun, L.
1 Schleicher, Dierk
1 Šeba, Petr
1 Sellars, N.
1 Tao, Terence
1 Teta, Alessandro
1 Tveito, Aslak
1 Vogl, Peter
1 Wong, Wanshun
all top 5

Serials

8 Journal of Differential Equations
8 Discrete and Continuous Dynamical Systems
6 Communications in Partial Differential Equations
6 SIAM Journal on Mathematical Analysis
5 Mathematics of Computation
4 Communications in Mathematical Physics
4 Journal of Mathematical Analysis and Applications
4 Journal of Functional Analysis
3 Reviews in Mathematical Physics
3 SIAM Journal on Applied Mathematics
3 Expositiones Mathematicae
3 Journal of Hyperbolic Differential Equations
3 Applied Mathematical Sciences
3 The Abel Prize
2 IMA Journal of Numerical Analysis
2 Journal of Computational Physics
2 Annales de l’Institut Fourier
2 BIT
2 Integral Equations and Operator Theory
2 Journal für die Reine und Angewandte Mathematik
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Revista Matemática Iberoamericana
2 IMRN. International Mathematics Research Notices
2 Journal of Physics A: Mathematical and General
2 Potential Analysis
2 Skrifter. Det Kongelige Norske Videnskabers Selskab
2 Cambridge Studies in Advanced Mathematics
2 Forum of Mathematics, Sigma
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Nonlinearity
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Journal of Optimization Theory and Applications
1 Mathematica Scandinavica
1 Memoirs of the American Mathematical Society
1 Normat
1 Numerische Mathematik
1 Quarterly of Applied Mathematics
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Journal of Operator Theory
1 Advances in Applied Mathematics
1 Probability Theory and Related Fields
1 Journal of Economic Dynamics & Control
1 Surveys on Mathematics for Industry
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Electronic Journal of Differential Equations (EJDE)
1 European Mathematical Society Newsletter
1 Aerospace Science and Technology
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Computational Geosciences
1 Nonlinear Analysis. Real World Applications
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Stochastics
1 Contemporary Mathematics
1 Lecture Notes in Physics
1 Proceedings of Symposia in Pure Mathematics
1 Abel Symposia
1 Networks and Heterogeneous Media
1 International Journal of Differential Equations
1 Springer Proceedings in Mathematics & Statistics
1 Universitext
1 Probability and its Applications
1 EMS Series of Lectures in Mathematics
1 Texts and Monographs in Physics

Publications by Year

Citations contained in zbMATH Open

160 Publications have been cited 2,860 times in 2,020 Documents Cited by Year
Solvable models in quantum mechanics. Zbl 0679.46057
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
342
1988
Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
161
2005
Stochastic partial differential equations. A modeling, white noise functional approach. Zbl 0860.60045
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
152
1996
Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080
Holden, Helge; Raynaud, Xavier
126
2007
Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056
Gesztesy, Fritz; Holden, Helge
118
2003
Front tracking for hyperbolic conservation laws. Zbl 1006.35002
Holden, Helge; Risebro, Nils Henrik
86
2002
Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106
Coclite, G. M.; Holden, H.; Karlsen, K. H.
81
2005
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
80
2009
The Kolmogorov-Riesz compactness theorem. Zbl 1208.46027
Hanche-Olsen, Harald; Holden, Helge
73
2010
A mathematical model of traffic flow on a network of unidirectional roads. Zbl 0833.35089
Holden, Helge; Risebro, Nils Henrik
67
1995
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
58
2005
Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049
Gesztesy, Fritz; Holden, Helge
53
2003
Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005
Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik
50
2010
Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
49
2010
Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
47
2008
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
47
2006
Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004
Holden, Helge; Risebro, Nils Henrik
41
2015
Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003
Holden, Helge; Risebro, Nils Henrik
31
2011
Well-posedness of higher-order Camassa-Holm equations. Zbl 1186.35003
Coclite, G. M.; Holden, H.; Karlsen, K. H.
30
2009
Operator splitting for the KdV equation. Zbl 1219.35235
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence
29
2011
Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065
Holden, Helge; Raynaud, Xavier
29
2007
On absence of diffusion near the bottom of the spectrum for a random Schrödinger operator on \(L^ 2({\mathbb{R}}^ v)^+\). Zbl 0546.60063
Martinelli, Fabio; Holden, Helge
29
1984
Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
28
2013
Convergence of a finite difference scheme for the Camassa-Holm equation. Zbl 1122.76065
Holden, Helge; Raynaud, Xavier
28
2006
Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075
Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge
28
2005
Conservation laws with a random source. Zbl 0885.35069
Holden, H.; Risebro, N. H.
28
1997
Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. Zbl 0906.35099
Bulla, W.; Gesztesy, F.; Holden, H.; Teschl, G.
27
1998
Global solutions for the two-component Camassa-Holm system. Zbl 1258.35176
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
26
2012
Global conservative solutions of the generalized hyperelastic-rod wave equation. Zbl 1116.35115
Holden, Helge; Raynaud, Xavier
26
2007
Borg-type theorems for matrix-valued Schrödinger operators. Zbl 0970.34073
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.
26
2000
The Burgers equation with a noisy force and the stochastic heat equation. Zbl 0804.35158
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S.
26
1994
Periodic conservative solutions of the Camassa-Holm equation. Zbl 1158.35079
Holden, Helge; Raynaud, Xavier
25
2008
Lipschitz metric for the Hunter-Saxton equation. Zbl 1195.35046
Bressan, Alberto; Holden, Helge; Raynaud, Xavier
24
2010
Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
22
1999
A numerical method for first order nonlinear scalar conservation laws in one-dimension. Zbl 0658.65085
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael
22
1988
Global dissipative multipeakon solutions of the Camassa-Holm equation. Zbl 1156.76014
Holden, H.; Raynaud, X.
21
2008
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427
Gesztesy, Fritz; Holden, Helge
21
2008
Global semigroup of conservative solutions of the nonlinear variational wave equation. Zbl 1270.35322
Holden, Helge; Raynaud, Xavier
20
2011
Trapping and cascading of eigenvalues in the large coupling limit. Zbl 0669.35085
Gesztesy, F.; Gurarie, D.; Holden, H.; Klaus, M.; Sadun, L.; Simon, B.; Vogl, P.
18
1988
Lipschitz metric for the Camassa-Holm equation on the line. Zbl 1297.35205
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
17
2013
Symmetric waves are traveling waves. Zbl 1181.35230
Ehrnström, Mats; Holden, Helge; Raynaud, Xavier
16
2009
On the Riemann problem for a prototype of a mixed type conservation law. Zbl 0637.35051
Holden, Helge
16
1987
A new class of solvable models in quantum mechanics describing point interactions on the line. Zbl 0627.34030
Gesztesy, F.; Holden, H.
15
1987
Lipschitz metric for the periodic Camassa-Holm equation. Zbl 1205.35252
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
13
2011
Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101
Holden, H.; Karlsen, K. H.; Risebro, N. H.
13
2007
Unconditionally stable splitting methods for the shallow water equations. Zbl 0945.76059
Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas
13
1999
Higher order trace relations for Schrödinger operators. Zbl 0833.34084
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
13
1995
Trace formulae and inverse spectral theory for Schrödinger operators. Zbl 0786.34081
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
13
1993
A unified approach to eigenvalues and resonances of Schrödinger operators using Fredholm determinants. Zbl 0622.35049
Gesztesy, F.; Holden, H.
13
1987
The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180
Holden, Helge; Risebro, Nils Henrik
12
2018
A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Zbl 1315.35186
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
12
2015
Global conservative solutions to the Camassa-Holm equation for initial data with nonvanishing asymptotics. Zbl 1253.35147
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
12
2012
The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
12
2009
On trace formulas for Schrödinger-type operators. Zbl 0881.34027
Gesztesy, F.; Holden, H.
12
1997
Absolute summability of the trace relation for certain Schrödinger operators. Zbl 0821.34076
Gesztesy, Fritz; Holden, Helge; Simon, Barry
12
1995
An unconditionally stable method for the Euler equations. Zbl 0922.76251
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik
11
1999
A trace formula for multidimensional Schrödinger operators. Zbl 0864.35030
Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z.
11
1996
Representation and construction of multiplicative noise. Zbl 0696.60012
Albeverio, Sergio; Holden, Helge; Høegh-Krohn, Raphael; Kolsrud, Torbjörn
11
1989
On energy gaps in a new type of analytically solvable model in quantum mechanics. Zbl 0669.47002
Gesztesy, F.; Holden, H.; Kirsch, W.
11
1988
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
10
2015
The damped string problem revisited. Zbl 1223.47049
Gesztesy, Fritz; Holden, Helge
10
2011
Riemann problems with a kink. Zbl 0926.35087
Holden, Helge; Risebro, Nils Henrik
10
1999
On the Toda and Kac-van Moerbeke systems. Zbl 0789.58043
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
10
1993
A stochastic approach to conservation laws. Zbl 0789.35103
Holden, H.; Risebro, N. H.
10
1991
Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Zbl 1295.35193
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
9
2014
A method of fractional steps for scalar conservation laws without the CFL conditions. Zbl 0799.35150
Holden, Helge; Risebro, Nils Henrik
9
1993
Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields. Zbl 0639.60010
Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge
9
1988
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
8
2018
Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174
Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald
8
2012
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H.
8
2003
Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation. Zbl 1049.35113
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas
8
2000
Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. Zbl 0974.35065
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas
8
2000
The pressure equation for fluid flow in a stochastic medium. Zbl 0834.60068
Holden, H.; Lindstrøm, T.; Øksendal, B.; Ubøe, J.; Zhang, T.-S.
8
1995
FRONTLINE and FRONTSIM: Two full scale, two-phase, black oil reservoir simulators based on front tracking. Zbl 0780.76073
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian F.; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik
8
1993
Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
7
2010
A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112
Holden, H.; Karlsen, K. H.; Risebro, N. H.
7
2009
A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Zbl 1138.65093
Holden, H.; Raynaud, X.
7
2008
Stability of solutions of quasilinear parabolic equations. Zbl 1078.35047
Coclite, Giuseppe Maria; Holden, Helge
7
2005
Darboux-type transformations and hyperelliptic curves. Zbl 1102.14301
Gesztesy, Fritz; Holden, Helge
7
2000
Stochastic boundary value problems: A white noise functional approach. Zbl 0792.60055
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu-Sheng
7
1993
The short range expansion. Zbl 0546.35019
Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar
7
1983
Periodic conservative solutions for the two-component Camassa-Holm system. Zbl 1320.35311
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
6
2013
On new trace formulae for Schrödinger operators. Zbl 0830.35118
Gesztesy, F.; Holden, H.
6
1995
Trace formulas and conservation laws for nonlinear evolution equations. Zbl 0805.35113
Gesztesy, F.; Holden, H.
6
1994
The Wick product. Zbl 0820.60048
Gjessing, H.; Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S.
6
1993
Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation. Zbl 0728.35104
Gesztesy, F.; Holden, H.; Saab, E.; Simon, B.
6
1991
Point interactions in two dimensions: basic properties, approximations and applications in solid state physics. Zbl 0619.35030
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
6
1987
Markov cosurfaces and gauge fields. Zbl 0541.60093
Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge
6
1984
An improvement of the Kolmogorov-Riesz compactness theorem. Zbl 1425.46018
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia
5
2019
The general peakon-antipeakon solution for the Camassa-Holm equation. Zbl 1352.35146
Grunert, Katrin; Holden, Helge
5
2016
Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
5
2016
Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
5
2008
The Schrödinger-Maxwell system with Dirac mass. Zbl 1132.35024
Coclite, G. M.; Holden, H.
5
2007
A white noise approach to stochastic differential equations driven by Wiener and Poisson processes. Zbl 0945.60051
Holden, Helge; Øksendal, Bernt
5
1999
The stochastic Wick-type Burgers equation. Zbl 0823.60050
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S.
5
1995
On scalar conservation laws in one dimension. Zbl 0851.65064
Holden, Helge; Holden, Lars
5
1992
Discrete Wick calculus and stochastic functional equations. Zbl 0776.60067
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan
5
1992
Markov processes on infinite dimensional spaces, Markov fields and Markov cosurfaces. Zbl 0587.60097
Albeverio, Sergio; Høegh-Krohn, Raphael; Holden, Helge
5
1985
Models for dense multilane vehicular traffic. Zbl 1441.35162
Holden, Helge; Risebro, Nils Henrik
4
2019
Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy. Zbl 1383.35182
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald
4
2017
On the microscopic modeling of vehicular traffic on general networks. Zbl 1448.90034
Colombo, Rinaldo M.; Holden, Helge; Marcellini, Francesca
1
2020
An improvement of the Kolmogorov-Riesz compactness theorem. Zbl 1425.46018
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia
5
2019
Models for dense multilane vehicular traffic. Zbl 1441.35162
Holden, Helge; Risebro, Nils Henrik
4
2019
A Lipschitz metric for the Hunter-Saxton equation. Zbl 1420.35305
Carrillo, José Antonio; Grunert, Katrin; Holden, Helge
1
2019
The continuum limit of follow-the-leader models – a short proof. Zbl 1378.35180
Holden, Helge; Risebro, Nils Henrik
12
2018
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Zbl 1414.35122
Holden, Helge; Risebro, Nils Henrik
8
2018
On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system. Zbl 1406.35277
Grasmair, Markus; Grunert, Katrin; Holden, Helge
2
2018
Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy. Zbl 1383.35182
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald
4
2017
On the index of meromorphic operator-valued functions and some applications. Zbl 1441.47012
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
1
2017
The general peakon-antipeakon solution for the Camassa-Holm equation. Zbl 1352.35146
Grunert, Katrin; Holden, Helge
5
2016
Dirichlet-to-Neumann maps, abstract Weyl-Titchmarsh \(M\)-functions, and a generalized index of unbounded meromorphic operator-valued functions. Zbl 1350.47009
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger
5
2016
Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385-394]. Zbl 1356.46022
Hanche-Olsen, Harald; Holden, Helge
3
2016
On the Braess paradox with nonlinear dynamics and control theory. Zbl 1335.35154
Colombo, Rinaldo M.; Holden, Helge
3
2016
Isentropic fluid dynamics in a curved pipe. Zbl 1362.35182
Colombo, Rinaldo M.; Holden, Helge
2
2016
Convergence of finite difference schemes for the Benjamin-Ono equation. Zbl 1353.65090
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
2
2016
Erratum to: “On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions”. Zbl 06599319
Gesztesy, Fritz; Holden, Helge; Nichols, Roger
2
2016
Front tracking for hyperbolic conservation laws. 2nd edition. Zbl 1346.35004
Holden, Helge; Risebro, Nils Henrik
41
2015
A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Zbl 1315.35186
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
12
2015
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. Zbl 1348.65121
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik
10
2015
Operator splitting for the Benjamin-Ono equation. Zbl 1326.35311
Dutta, R.; Holden, H.; Koley, U.; Risebro, N. H.
4
2015
On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Zbl 1316.47014
Gesztesy, Fritz; Holden, Helge; Nichols, Roger
1
2015
Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Zbl 1295.35193
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
9
2014
On an inverse problem for scalar conservation laws. Zbl 1286.35266
Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik
2
2014
Operator splitting for partial differential equations with Burgers nonlinearity. Zbl 1260.35184
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
28
2013
Lipschitz metric for the Camassa-Holm equation on the line. Zbl 1297.35205
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
17
2013
Periodic conservative solutions for the two-component Camassa-Holm system. Zbl 1320.35311
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
6
2013
Operator splitting for two-dimensional incompressible fluid equations. Zbl 1322.76017
Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve
2
2013
Operator splitting for well-posed active scalar equations. Zbl 1282.35305
Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve K.
1
2013
Global solutions for the two-component Camassa-Holm system. Zbl 1258.35176
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
26
2012
Global conservative solutions to the Camassa-Holm equation for initial data with nonvanishing asymptotics. Zbl 1253.35147
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
12
2012
Abstract wave equations and associated Dirac-type operators. Zbl 1262.35174
Gesztesy, Fritz; Goldstein, Jerome A.; Holden, Helge; Teschl, Gerald
8
2012
Nonlinear partial differential equations. The Abel symposium 2010. Proceedings of the Abel symposium, Oslo, Norway, September 28–October 2, 2010. Zbl 1231.35003
Holden, Helge (ed.); Karlsen, Kenneth H. (ed.)
1
2012
Front tracking for hyperbolic conservation laws. Paperback ed. Zbl 1239.35003
Holden, Helge; Risebro, Nils Henrik
31
2011
Operator splitting for the KdV equation. Zbl 1219.35235
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils Henrik; Tao, Terence
29
2011
Global semigroup of conservative solutions of the nonlinear variational wave equation. Zbl 1270.35322
Holden, Helge; Raynaud, Xavier
20
2011
Lipschitz metric for the periodic Camassa-Holm equation. Zbl 1205.35252
Grunert, Katrin; Holden, Helge; Raynaud, Xavier
13
2011
The damped string problem revisited. Zbl 1223.47049
Gesztesy, Fritz; Holden, Helge
10
2011
\(L^\infty\) solutions for a model of nonisothermal polytropic gas flow. Zbl 1252.35197
Frid, Hermano; Holden, Helge; Karlsen, Kenneth H.
1
2011
The Kolmogorov-Riesz compactness theorem. Zbl 1208.46027
Hanche-Olsen, Harald; Holden, Helge
73
2010
Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs. Zbl 1191.35005
Holden, Helge; Karlsen, Kenneth H.; Lie, Knut-Andreas; Risebro, Nils Henrik
50
2010
Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
49
2010
Lipschitz metric for the Hunter-Saxton equation. Zbl 1195.35046
Bressan, Alberto; Holden, Helge; Raynaud, Xavier
24
2010
Front tracking for a model of immiscible gas flow with large data. Zbl 1425.76214
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
7
2010
The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Zbl 1178.37074
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
3
2010
Ground states of the Schrödinger-Maxwell system with Dirac mass: existence and asymptotics. Zbl 1190.35189
Coclite, Giuseppe Maria; Holden, Helge
1
2010
Contract adjustment under uncertainty. Zbl 1202.91031
Holden, Helge; Holden, Lars; Holden, Steinar
1
2010
Dissipative solutions for the Camassa-Holm equation. Zbl 1178.65099
Holden, Helge; Raynaud, Xavier
80
2009
Well-posedness of higher-order Camassa-Holm equations. Zbl 1186.35003
Coclite, G. M.; Holden, H.; Karlsen, K. H.
30
2009
Symmetric waves are traveling waves. Zbl 1181.35230
Ehrnström, Mats; Holden, Helge; Raynaud, Xavier
16
2009
The solution of the Cauchy problem with large data for a model of a mixture of gases. Zbl 1178.35248
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
12
2009
A convergent finite-difference method for a nonlinear variational wave equation. Zbl 1236.65112
Holden, H.; Karlsen, K. H.; Risebro, N. H.
7
2009
The Ablowitz-Ladik hierarchy revisited. Zbl 1160.37028
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
4
2009
Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Zbl 1212.35166
Holden, Helge; Karlsen, Kenneth H.; Mitrovic, Darko; Panov, Evgueni Yu.
3
2009
Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. Zbl 1206.35170
Holden, H.; Karlsen, K. H.; Mitrovic, D.
2
2009
Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. Zbl 1404.65119
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde
1
2009
Soliton equations and their algebro-geometric solutions. Volume II. \((1+1)\)-dimensional discrete models. Zbl 1151.37056
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
47
2008
Periodic conservative solutions of the Camassa-Holm equation. Zbl 1158.35079
Holden, Helge; Raynaud, Xavier
25
2008
Global dissipative multipeakon solutions of the Camassa-Holm equation. Zbl 1156.76014
Holden, H.; Raynaud, X.
21
2008
Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1153.37427
Gesztesy, Fritz; Holden, Helge
21
2008
A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Zbl 1138.65093
Holden, H.; Raynaud, X.
7
2008
Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Zbl 1193.37092
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
5
2008
The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Zbl 1143.37045
Gesztesy, Fritz; Holden, Helge; Teschl, Gerald
4
2008
A combined experimental and numerical study of flow structures over three-dimensional shock control bumps. Zbl 1273.76262
Wong, W. S.; Qin, N.; Sellars, N.; Holden, H.; Babinsky, H.
1
2008
Erratum to: “The Schrödinger-Maxwell system with Dirac mass” [Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (5) (2007) 773-793]. Zbl 1157.35334
Coclite, G. M.; Holden, H.
1
2008
Global weak solutions for a shallow water equation. Zbl 1168.35415
Coclite, G. M.; Holden, H.; Karlsen, K. H.
1
2008
Global conservative solutions of the Camassa-Holm equation – a Lagrangian point of view. Zbl 1136.35080
Holden, Helge; Raynaud, Xavier
126
2007
Global conservative multipeakon solutions of the Camassa-Holm equation. Zbl 1128.65065
Holden, Helge; Raynaud, Xavier
29
2007
Global conservative solutions of the generalized hyperelastic-rod wave equation. Zbl 1116.35115
Holden, Helge; Raynaud, Xavier
26
2007
Convergent difference schemes for the Hunter–Saxton equation. Zbl 1114.65101
Holden, H.; Karlsen, K. H.; Risebro, N. H.
13
2007
The Schrödinger-Maxwell system with Dirac mass. Zbl 1132.35024
Coclite, G. M.; Holden, H.
5
2007
Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. Zbl 1137.37033
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald
3
2007
A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Zbl 1111.35061
Holden, Helge; Raynaud, Xavier
47
2006
Convergence of a finite difference scheme for the Camassa-Holm equation. Zbl 1122.76065
Holden, Helge; Raynaud, Xavier
28
2006
Solvable models in quantum mechanics. With an appendix by Pavel Exner. 2nd revised ed. Zbl 1078.81003
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge
161
2005
Global weak solutions to a generalized hyperelastic-rod wave equation. Zbl 1100.35106
Coclite, G. M.; Holden, H.; Karlsen, K. H.
81
2005
Wellposedness for a parabolic-elliptic system. Zbl 1082.35056
Coclite, Giuseppe Maria; Holden, Helge; Karlsen, Kenneth Hvistendahl
58
2005
Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075
Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge
28
2005
Stability of solutions of quasilinear parabolic equations. Zbl 1078.35047
Coclite, Giuseppe Maria; Holden, Helge
7
2005
Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Zbl 1097.34063
Cascaval, Radu C.; Gesztesy, Fritz; Holden, Helge; Latushkin, Yuri
4
2004
Soliton equations and their algebro-geometric solutions. I: (1+1)-dimensional continuous models. Zbl 1061.37056
Gesztesy, Fritz; Holden, Helge
118
2003
Algebro-geometric solutions of the Camassa-Holm hierarchy. Zbl 1029.37049
Gesztesy, Fritz; Holden, Helge
53
2003
On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Zbl 1036.35102
Holden, Helge; Karlsen, Kenneth H.; Risebro, Nils H.
8
2003
The hyperelliptic \(\zeta\)-function and the integrable massive Thirring model. Zbl 1101.14314
Eilbeck, J. C.; Enolskii, V. Z.; Holden, H.
4
2003
Front tracking for hyperbolic conservation laws. Zbl 1006.35002
Holden, Helge; Risebro, Nils Henrik
86
2002
Dubrovin equations and integrable systems on hyperelliptic curves. Zbl 1075.35068
Gesztesy, Fritz; Holden, Helge
1
2002
Operator splitting for convection-dominated nonlinear partial differential equations. Zbl 0989.65093
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik
1
2001
Borg-type theorems for matrix-valued Schrödinger operators. Zbl 0970.34073
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.
26
2000
Operator splitting methods for degenerate convection-diffusion equations. II: Numerical examples with emphasis on reservoir simulation and sedimentation. Zbl 1049.35113
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas
8
2000
Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. Zbl 0974.35065
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas
8
2000
Darboux-type transformations and hyperelliptic curves. Zbl 1102.14301
Gesztesy, Fritz; Holden, Helge
7
2000
A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions. Zbl 1102.14302
Gesztesy, Fritz; Holden, Helge
3
2000
The Cole-Hopf and Miura transformations revisited. Zbl 0971.35066
Gesztesy, Fritz; Holden, Helge
3
2000
The classical Boussinesq hierarchy revisited. Zbl 1012.35073
Gesztesy, Fritz; Holden, Helge
2
2000
A white noise approach to stochastic Neumann boundary-value problems. Zbl 0980.60089
Holden, Helge; Øksendal, Bernt
1
2000
The classical massive Thirring system revisited. Zbl 0968.37024
Enolskii, V. Z.; Gesztesy, F.; Holden, H.
1
2000
Operator splitting methods for generalized Korteweg-de Vries equations. Zbl 0947.65102
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik
22
1999
Unconditionally stable splitting methods for the shallow water equations. Zbl 0945.76059
Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas
13
1999
An unconditionally stable method for the Euler equations. Zbl 0922.76251
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik
11
1999
Riemann problems with a kink. Zbl 0926.35087
Holden, Helge; Risebro, Nils Henrik
10
1999
A white noise approach to stochastic differential equations driven by Wiener and Poisson processes. Zbl 0945.60051
Holden, Helge; Øksendal, Bernt
5
1999
...and 60 more Documents
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Cited by 2,332 Authors

65 Holden, Helge
48 Gesztesy, Fritz
47 Risebro, Nils Henrik
44 Albeverio, Sergio A.
41 Coclite, Giuseppe Maria
39 Karlsen, Kenneth Hvistendahl
37 Exner, Pavel
33 Geng, Xianguo
21 Mi, Yongsheng
21 Teschl, Gerald
20 Mu, Chunlai
19 Malamud, Mark M.
18 Posilicano, Andrea
18 Teta, Alessandro
17 Fan, Engui
17 Yin, Zhaoyang
16 Liu, Yue
16 Øksendal, Bernt Karsten
16 Raynaud, Xavier
16 Simon, Barry
15 Bürger, Raimund
14 Chen, Geng
14 Kostenko, Aleksey S.
14 Piccoli, Benedetto
14 Popov, Igor’ Yur’evich
14 Qiao, Zhijun
13 Behrndt, Jussi
13 Geyler, Vladimir A.
13 Lai, Shaoyong
13 Michelangeli, Alessandro
12 Figari, Rodolfo
12 Herty, Michael Matthias
12 Šeba, Petr
12 Xie, Yingchao
12 Yang, Chuanfu
11 Bressan, Alberto
11 Cheon, Taksu
11 Di Ruvo, Lorenzo
11 Eckhardt, Jonathan
11 Goatin, Paola
11 Grunert, Katrin
11 Høegh-Krohn, Raphael J.
11 Koshmanenko, Volodymyr Dmytrovych
11 Kurasov, Pavel B.
11 Mishra, Siddhartha
11 Xue, Bo
11 Zeng, Xin
10 Alpay, Daniel Aron
10 Borisov, Denis Ivanovich
10 Dell’Antonio, Gian Fausto
10 Pankrashkin, Konstantin
10 Zhao, Peng
9 Cacciapuoti, Claudio
9 Garavello, Mauro
9 Hu, Qiaoyi
9 Hu, Yanbo
9 Lanconelli, Alberto
9 Lotoreichik, Vladimir
9 Ma, Wen-Xiu
9 Qu, Changzheng
9 Seleši, Dora
8 Carlone, Raffaele
8 Colombo, Rinaldo M.
8 Finco, Domenico
8 Göttlich, Simone
8 He, Guoliang
8 Hou, Yu
8 Korotyaev, Evgeny L.
8 Liu, Zhengrong
8 Neidhardt, Hagen
8 Noja, Diego
8 Ostermann, Alexander
8 Schwab, Christoph
8 Tian, Lixin
8 Towers, John D.
8 Ubœ, Jan
8 Wang, Yujuan
8 Zhang, Hongqing
7 Allahyari, Reza
7 Guo, Boling
7 Koley, Ujjwal
7 Kondej, Sylwia
7 Liu, Jianguo
7 Nizhnik, Leonid Pavlovich
7 Rozovskii, Boris L.
7 Song, Yongduan
7 Wu, Lihua
7 Zhang, Tusheng S.
7 Zhou, Shouming
6 Adami, Riccardo
6 Angulo Pava, Jaime
6 Cai, Hong
6 Chen, Bin
6 Chen, Gui-Qiang G.
6 Chen, Jinbing
6 Chuburin, Yuriĭ Pavlovich
6 Corli, Andrea
6 Egorova, Iryna
6 Gadella, Manuel
6 Hughes, Rhonda Jo
...and 2,232 more Authors
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Cited in 348 Serials

91 Journal of Differential Equations
84 Journal of Mathematical Analysis and Applications
72 Journal of Mathematical Physics
68 Journal of Functional Analysis
50 Communications in Mathematical Physics
42 Discrete and Continuous Dynamical Systems
40 Physics Letters. A
39 Journal of Computational Physics
37 Reports on Mathematical Physics
35 Applied Mathematics and Computation
32 Theoretical and Mathematical Physics
28 Chaos, Solitons and Fractals
28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
27 Journal of Computational and Applied Mathematics
26 Letters in Mathematical Physics
26 Journal of Nonlinear Mathematical Physics
23 Annals of Physics
23 Stochastic Processes and their Applications
23 Journal of Hyperbolic Differential Equations
23 Networks and Heterogeneous Media
22 Annales Henri Poincaré
19 Archive for Rational Mechanics and Analysis
18 Journal of Statistical Physics
18 Integral Equations and Operator Theory
18 Abstract and Applied Analysis
17 Mathematics of Computation
16 Applicable Analysis
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Proceedings of the American Mathematical Society
16 Communications in Partial Differential Equations
15 Computers & Mathematics with Applications
15 Applied Numerical Mathematics
14 Mathematical Notes
14 Journal of Geometry and Physics
14 Numerische Mathematik
14 Physica D
13 Transactions of the American Mathematical Society
13 SIAM Journal on Mathematical Analysis
12 Reviews in Mathematical Physics
12 Mathematische Nachrichten
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Journal of Scientific Computing
12 Annales de l’Institut Henri Poincaré. Physique Théorique
12 Nonlinear Analysis. Real World Applications
11 Monatshefte für Mathematik
11 Potential Analysis
11 Journal of Physics A: Mathematical and Theoretical
10 Computer Methods in Applied Mechanics and Engineering
10 Acta Applicandae Mathematicae
10 SIAM Journal on Applied Mathematics
10 Journal of Mathematical Sciences (New York)
10 Discrete and Continuous Dynamical Systems. Series B
10 Advances in Difference Equations
10 Discrete and Continuous Dynamical Systems. Series S
9 Journal d’Analyse Mathématique
9 BIT
9 SIAM Journal on Numerical Analysis
9 Applied Mathematics Letters
9 Communications in Nonlinear Science and Numerical Simulation
9 Boundary Value Problems
9 Stochastics
9 Advances in Mathematical Physics
9 Stochastic and Partial Differential Equations. Analysis and Computations
8 Mathematical Methods in the Applied Sciences
8 Quarterly of Applied Mathematics
8 Studies in Applied Mathematics
8 Mathematical Physics, Analysis and Geometry
8 Journal of Evolution Equations
8 Journal of Function Spaces
7 International Journal of Theoretical Physics
7 Nonlinearity
7 Ukrainian Mathematical Journal
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Journal of Dynamics and Differential Equations
7 Russian Journal of Mathematical Physics
7 NoDEA. Nonlinear Differential Equations and Applications
7 Doklady Mathematics
7 Differential Equations
6 Computers and Fluids
6 Advances in Mathematics
6 Annales de l’Institut Fourier
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 The Annals of Probability
6 Journal of Approximation Theory
6 Stochastic Analysis and Applications
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Nuclear Physics. B
5 Mathematics and Computers in Simulation
5 Zeitschrift für Analysis und ihre Anwendungen
5 Statistics & Probability Letters
5 Probability Theory and Related Fields
5 Numerical Methods for Partial Differential Equations
5 International Journal of Computer Mathematics
5 Journal of Nonlinear Science
5 Computational Geosciences
5 Mathematical Control and Related Fields
4 Journal of Engineering Mathematics
4 Physica A
4 Duke Mathematical Journal
...and 248 more Serials
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Cited in 55 Fields

1,147 Partial differential equations (35-XX)
397 Quantum theory (81-XX)
330 Operator theory (47-XX)
297 Probability theory and stochastic processes (60-XX)
293 Numerical analysis (65-XX)
248 Dynamical systems and ergodic theory (37-XX)
233 Fluid mechanics (76-XX)
229 Ordinary differential equations (34-XX)
120 Statistical mechanics, structure of matter (82-XX)
85 Operations research, mathematical programming (90-XX)
84 Functional analysis (46-XX)
46 Algebraic geometry (14-XX)
42 Global analysis, analysis on manifolds (58-XX)
38 Systems theory; control (93-XX)
34 Mechanics of deformable solids (74-XX)
33 Integral equations (45-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
30 Harmonic analysis on Euclidean spaces (42-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Difference and functional equations (39-XX)
19 Biology and other natural sciences (92-XX)
18 Special functions (33-XX)
16 Differential geometry (53-XX)
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15 Real functions (26-XX)
15 Statistics (62-XX)
15 Optics, electromagnetic theory (78-XX)
14 Geophysics (86-XX)
13 Functions of a complex variable (30-XX)
11 Combinatorics (05-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
8 Relativity and gravitational theory (83-XX)
7 Measure and integration (28-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Integral transforms, operational calculus (44-XX)
7 Information and communication theory, circuits (94-XX)
6 Number theory (11-XX)
6 Potential theory (31-XX)
6 Approximations and expansions (41-XX)
6 Computer science (68-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Topological groups, Lie groups (22-XX)
3 Nonassociative rings and algebras (17-XX)
3 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
3 Manifolds and cell complexes (57-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
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2 \(K\)-theory (19-XX)
2 Astronomy and astrophysics (85-XX)
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1 Geometry (51-XX)
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