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Denk, Robert

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Author ID: denk.robert Recent zbMATH articles by "Denk, Robert"
Published as: Denk, R.; Denk, Robert
Documents Indexed: 65 Publications since 1993, including 4 Books

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 661 times in 488 Documents Cited by Year
\({\mathcal R}\)-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Zbl 1274.35002
Denk, Robert; Hieber, Matthias; Prüss, Jan
231
2003
Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data. Zbl 1210.35066
Denk, Robert; Hieber, Matthias; Prüss, Jan
97
2007
A forward scheme for backward SDEs. Zbl 1131.60054
Bender, Christian; Denk, Robert
50
2007
New thoughts on old results of R. T. Seeley. Zbl 1113.35057
Denk, Robert; Dore, Giovanni; Hieber, Matthias; Prüss, Jan; Venni, Alberto
44
2004
Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type. Zbl 1160.35030
Denk, Robert; Prüss, Jan; Zacher, Rico
36
2008
General parabolic mixed order systems in \(L_p\) and applications. Zbl 06214483
Denk, Robert; Kaip, Mario
18
2013
Inhomogeneous symbols, the Newton polygon, and maximal \(L^p\)-regularity. Zbl 1194.47036
Denk, R.; Saal, J.; Seiler, J.
17
2008
\(L^p\)-resolvent estimates and time decay for generalized thermoelastic plate equations. Zbl 1114.35019
Denk, Robert; Racke, Reinhard
17
2006
A structurally damped plate equation with Dirichlet-Neumann boundary conditions. Zbl 1333.35272
Denk, Robert; Schnaubelt, Roland
13
2015
\(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
12
2009
Weakly smooth nonselfadjoint spectral elliptic boundary problems. Zbl 0932.35158
Agranovich, Mikhail; Denk, Robert; Faierman, Melvin
12
1997
The Newton polygon and elliptic problems with parameter. Zbl 0917.47023
Denk, Robert; Mennicken, Reinhard; Volevich, Leonid
10
1998
Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains. Zbl 1188.35023
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
8
2010
\(\mathcal R\)-boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators. Zbl 1128.35063
Denk, Robert; Krainer, Thomas
7
2007
An elliptic boundary problem for a system involving a discontinuous weight. Zbl 1003.35049
Denk, R.; Faierman, M.; Möller, M.
7
2002
Boundary-value problems for a class of elliptic operator pencils. Zbl 0974.35029
Denk, R.; Mennicken, R.; Volevich, L.
7
2000
The spin-coating process: analysis of the free boundary value problem. Zbl 1229.35331
Denk, Robert; Geissert, Matthias; Hieber, Matthias; Saal, Jürgen; Sawada, Okihiro
6
2011
Elliptic boundary value problems with large parameter for mixed order systems. Zbl 1056.35058
Denk, R.; Volevich, L.
6
2002
On Hilbert-Schmidt operators and determinants corresponding to periodic ODE systems. Zbl 0906.34046
Denk, R.
6
1998
Bounded \(H_\infty\)-calculus for pseudo-differential Douglis-Nirenberg systems of mild regularity. Zbl 1178.35394
Denk, Robert; Saal, Jürgen; Seiler, Jörg
5
2009
Resolvent estimates for elliptic systems in function spaces of higher regularity. Zbl 1254.35080
Denk, Robert; Dreher, Michael
4
2011
On elliptic operator pencils with general boundary conditions. Zbl 0974.35030
Denk, R.; Mennicken, R.; Volevich, L.
4
2001
Maximal regularity for the thermoelastic plate equations with free boundary conditions. Zbl 1366.35073
Denk, Robert; Shibata, Yoshihiro
3
2017
Discrete Fourier multipliers and cylindrical boundary-value problems. Zbl 1292.35157
Denk, Robert; Nau, Tobias
3
2013
Estimates for solutions of a parameter-elliptic multi-order system of differential equations. Zbl 1202.35077
Denk, R.; Faierman, M.
3
2010
A new class of parabolic problems connected with Newton’s polygon. Zbl 1163.35406
Denk, R.; Volevich, L. R.
3
2007
On the Floquet exponents of Hill’s equation systems. Zbl 0829.34033
Denk, Robert
3
1995
Sigma-additivity of quasi-measure extensions of a measure. Zbl 0809.28002
Bogner, D.; Denk, R.
3
1994
Exponential stability for a coupled system of damped-undamped plate equations. Zbl 1404.35046
Denk, Robert; Kammerlander, Felix
2
2018
Generation of semigroups for vector-valued pseudodifferential operators on the torus. Zbl 1349.35444
Barraza Martínez, B.; Denk, R.; Hernández Monzón, J.; Nau, T.
2
2016
Pseudodifferential operators with non-regular operator-valued symbols. Zbl 1327.35470
Barraza Martínez, Bienvenido; Denk, Robert; Hernández Monzón, Jairo
2
2014
On the maximal \(L _{p }\)-regularity of parabolic mixed-order systems. Zbl 1242.35221
Denk, Robert; Seiler, Jörg
2
2011
Parabolic boundary value problems connected with Newton’s polygon and some problems of crystallization. Zbl 1166.35335
Denk, R.; Volevich, L. R.
2
2008
A priori estimates for a singularly perturbed mixed-order boundary value problem. Zbl 1189.35034
Denk, R.; Volevich, L.
2
2000
Hill’s equation systems and infinite determinants. Zbl 0841.34027
Denk, Robert
2
1995
The application of the determinantal method to the finite Hill’s equation. Zbl 0805.34027
Denk, R.
2
1994
A semigroup approach to nonlinear Lévy processes. Zbl 1457.60075
Denk, Robert; Kupper, Michael; Nendel, Max
1
2020
Kolmogorov-type and general extension results for nonlinear expectations. Zbl 1400.28021
Denk, Robert; Kupper, Michael; Nendel, Max
1
2018
Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces. Zbl 06939195
Barraza Martínez, B.; Denk, R.; Hernández Monzón, J.; Nendel, M.
1
2018
Inhomogeneous boundary value problems in spaces of higher regularity. Zbl 1343.35094
Denk, Robert; Seger, Tim
1
2016
Maximal \(L_p\)-regularity of non-local boundary value problems. Zbl 1317.35105
Denk, Robert; Seiler, Jörg
1
2015
\(L^p\)-estimates for a transmission problem of mixed elliptic-parabolic type. Zbl 1304.35150
Denk, Robert; Seger, Tim
1
2014
Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces. Zbl 1297.35301
Martínez, B. Barraza; Denk, R.; Monzón, J. Hernández
1
2014
The spectrum of the multiplication operator associated with a family of operators in a Banach space. Zbl 1108.47006
Denk, R.; Möller, M.; Tretter, C.
1
2006
Parameter-elliptic boundary value problems connected with the Newton polygon. Zbl 1008.35020
Denk, Robert; Volevich, Leonid
1
2002
The spectrum of a parametrized partial differential operator occurring in hydrodynamics. Zbl 1017.47035
Denk, R.; Möller, M.; Tretter, C.
1
2002
A semigroup approach to nonlinear Lévy processes. Zbl 1457.60075
Denk, Robert; Kupper, Michael; Nendel, Max
1
2020
Exponential stability for a coupled system of damped-undamped plate equations. Zbl 1404.35046
Denk, Robert; Kammerlander, Felix
2
2018
Kolmogorov-type and general extension results for nonlinear expectations. Zbl 1400.28021
Denk, Robert; Kupper, Michael; Nendel, Max
1
2018
Mapping properties for operator-valued pseudodifferential operators on toroidal Besov spaces. Zbl 06939195
Barraza Martínez, B.; Denk, R.; Hernández Monzón, J.; Nendel, M.
1
2018
Maximal regularity for the thermoelastic plate equations with free boundary conditions. Zbl 1366.35073
Denk, Robert; Shibata, Yoshihiro
3
2017
Generation of semigroups for vector-valued pseudodifferential operators on the torus. Zbl 1349.35444
Barraza Martínez, B.; Denk, R.; Hernández Monzón, J.; Nau, T.
2
2016
Inhomogeneous boundary value problems in spaces of higher regularity. Zbl 1343.35094
Denk, Robert; Seger, Tim
1
2016
A structurally damped plate equation with Dirichlet-Neumann boundary conditions. Zbl 1333.35272
Denk, Robert; Schnaubelt, Roland
13
2015
Maximal \(L_p\)-regularity of non-local boundary value problems. Zbl 1317.35105
Denk, Robert; Seiler, Jörg
1
2015
Pseudodifferential operators with non-regular operator-valued symbols. Zbl 1327.35470
Barraza Martínez, Bienvenido; Denk, Robert; Hernández Monzón, Jairo
2
2014
\(L^p\)-estimates for a transmission problem of mixed elliptic-parabolic type. Zbl 1304.35150
Denk, Robert; Seger, Tim
1
2014
Analytic semigroups of pseudodifferential operators on vector-valued Sobolev spaces. Zbl 1297.35301
Martínez, B. Barraza; Denk, R.; Monzón, J. Hernández
1
2014
General parabolic mixed order systems in \(L_p\) and applications. Zbl 06214483
Denk, Robert; Kaip, Mario
18
2013
Discrete Fourier multipliers and cylindrical boundary-value problems. Zbl 1292.35157
Denk, Robert; Nau, Tobias
3
2013
The spin-coating process: analysis of the free boundary value problem. Zbl 1229.35331
Denk, Robert; Geissert, Matthias; Hieber, Matthias; Saal, Jürgen; Sawada, Okihiro
6
2011
Resolvent estimates for elliptic systems in function spaces of higher regularity. Zbl 1254.35080
Denk, Robert; Dreher, Michael
4
2011
On the maximal \(L _{p }\)-regularity of parabolic mixed-order systems. Zbl 1242.35221
Denk, Robert; Seiler, Jörg
2
2011
Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains. Zbl 1188.35023
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
8
2010
Estimates for solutions of a parameter-elliptic multi-order system of differential equations. Zbl 1202.35077
Denk, R.; Faierman, M.
3
2010
\(L_p\) theory for the linear thermoelastic plate equations in bounded and exterior domains. Zbl 1182.35034
Denk, Robert; Racke, Reinhard; Shibata, Yoshihiro
12
2009
Bounded \(H_\infty\)-calculus for pseudo-differential Douglis-Nirenberg systems of mild regularity. Zbl 1178.35394
Denk, Robert; Saal, Jürgen; Seiler, Jörg
5
2009
Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type. Zbl 1160.35030
Denk, Robert; Prüss, Jan; Zacher, Rico
36
2008
Inhomogeneous symbols, the Newton polygon, and maximal \(L^p\)-regularity. Zbl 1194.47036
Denk, R.; Saal, J.; Seiler, J.
17
2008
Parabolic boundary value problems connected with Newton’s polygon and some problems of crystallization. Zbl 1166.35335
Denk, R.; Volevich, L. R.
2
2008
Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data. Zbl 1210.35066
Denk, Robert; Hieber, Matthias; Prüss, Jan
97
2007
A forward scheme for backward SDEs. Zbl 1131.60054
Bender, Christian; Denk, Robert
50
2007
\(\mathcal R\)-boundedness, pseudodifferential operators, and maximal regularity for some classes of partial differential operators. Zbl 1128.35063
Denk, Robert; Krainer, Thomas
7
2007
A new class of parabolic problems connected with Newton’s polygon. Zbl 1163.35406
Denk, R.; Volevich, L. R.
3
2007
\(L^p\)-resolvent estimates and time decay for generalized thermoelastic plate equations. Zbl 1114.35019
Denk, Robert; Racke, Reinhard
17
2006
The spectrum of the multiplication operator associated with a family of operators in a Banach space. Zbl 1108.47006
Denk, R.; Möller, M.; Tretter, C.
1
2006
New thoughts on old results of R. T. Seeley. Zbl 1113.35057
Denk, Robert; Dore, Giovanni; Hieber, Matthias; Prüss, Jan; Venni, Alberto
44
2004
\({\mathcal R}\)-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Zbl 1274.35002
Denk, Robert; Hieber, Matthias; Prüss, Jan
231
2003
An elliptic boundary problem for a system involving a discontinuous weight. Zbl 1003.35049
Denk, R.; Faierman, M.; Möller, M.
7
2002
Elliptic boundary value problems with large parameter for mixed order systems. Zbl 1056.35058
Denk, R.; Volevich, L.
6
2002
Parameter-elliptic boundary value problems connected with the Newton polygon. Zbl 1008.35020
Denk, Robert; Volevich, Leonid
1
2002
The spectrum of a parametrized partial differential operator occurring in hydrodynamics. Zbl 1017.47035
Denk, R.; Möller, M.; Tretter, C.
1
2002
On elliptic operator pencils with general boundary conditions. Zbl 0974.35030
Denk, R.; Mennicken, R.; Volevich, L.
4
2001
Boundary-value problems for a class of elliptic operator pencils. Zbl 0974.35029
Denk, R.; Mennicken, R.; Volevich, L.
7
2000
A priori estimates for a singularly perturbed mixed-order boundary value problem. Zbl 1189.35034
Denk, R.; Volevich, L.
2
2000
The Newton polygon and elliptic problems with parameter. Zbl 0917.47023
Denk, Robert; Mennicken, Reinhard; Volevich, Leonid
10
1998
On Hilbert-Schmidt operators and determinants corresponding to periodic ODE systems. Zbl 0906.34046
Denk, R.
6
1998
Weakly smooth nonselfadjoint spectral elliptic boundary problems. Zbl 0932.35158
Agranovich, Mikhail; Denk, Robert; Faierman, Melvin
12
1997
On the Floquet exponents of Hill’s equation systems. Zbl 0829.34033
Denk, Robert
3
1995
Hill’s equation systems and infinite determinants. Zbl 0841.34027
Denk, Robert
2
1995
Sigma-additivity of quasi-measure extensions of a measure. Zbl 0809.28002
Bogner, D.; Denk, R.
3
1994
The application of the determinantal method to the finite Hill’s equation. Zbl 0805.34027
Denk, R.
2
1994
all top 5

Cited by 484 Authors

40 Shakhmurov, Veli B.
26 Denk, Robert
22 Prüß, Jan Wilhelm
15 Hieber, Matthias
15 Veraar, Mark C.
13 Lizama, Carlos
12 Shibata, Yoshihiro
12 Wilke, Mathias
11 Pyatkov, Sergei Grigor’evich
11 Saal, Jürgen
11 Weis, Lutz W.
10 Schnaubelt, Roland
10 Shimizu, Senjo
9 Simonett, Gieri
9 van Neerven, Jan M. A. M.
8 Abels, Helmut
8 Fackler, Stephan
8 Faierman, Melvin
8 Seiler, Jörg
8 Zhao, Weidong
7 Agarwal, Ravi P.
7 Bothe, Dieter
7 Kotschote, Matthias
6 Hytönen, Tuomas P.
6 Köhne, Matthias
6 Lippoth, Friedrich-Matthias
6 Meyries, Martin
6 Racke, Reinhard
6 Saito, Hirokazu
5 Geissert, Matthias
5 Giga, Yoshikazu
5 Kunstmann, Peer Christian
5 Lindemulder, Nick
5 Poblete, Verónica
5 Schrohe, Elmar
5 Zacher, Rico
4 Bender, Christian
4 Colli, Pierluigi
4 Disser, Karoline
4 Garcke, Harald
4 Gilardi, Gianni
4 Hao, Jianghao
4 Hernández Monzón, Jairo
4 Hu, Xijun
4 Jentzen, Arnulf
4 Le Balc’h, Kévin
4 Murillo-Arcila, Marina
4 Nau, Tobias
4 Ogawa, Takayoshi
4 O’Regan, Donal
4 Prokert, Georg
4 Rehberg, Joachim
4 Tolksdorf, Patrick
4 Volevich, Leonid Romanovich
4 Wang, Penghui
4 Yakubov, Yakov
3 Barraza Martínez, Bienvenido
3 Cholewa, Jan W.
3 dos Reis, Gonçalo
3 E, Weinan
3 Exarchos, Ioannis
3 Favini, Angelo
3 Gallarati, Chiara
3 Gobet, Emmanuel
3 Haller-Dintelmann, Robert
3 Jin, Bum Ja
3 Johnsen, Jon
3 Kaltenbacher, Barbara
3 Lasiecka, Irena
3 Lipecki, Zbigniew
3 Liu, Zhuangyi
3 Murata, Miho
3 Nendel, Max
3 Nolasco de Carvalho, Alexandre
3 Novotný, Antonín
3 Pokojovy, Michael
3 Ponce, Rodrigo F.
3 Portal, Pierre
3 Rabier, Patrick J.
3 Rolland, Guillaume
3 Sauer, Jonas
3 Shahmurov, Rishad
3 Shao, Yuanzhen
3 Sprekels, Jürgen
3 Theodorou, Evangelos A.
3 Vergara, Vicente
3 Zajączkowski, Wojciech M.
3 Zhou, Tao
2 Amann, Herbert
2 Badra, Mehdi
2 Belonogov, Vladimir Andreevich
2 Bian, Dongfen
2 Charão, Ruy Coimbra
2 Chill, Ralph
2 Cuevas, Claudio
2 Degtyarev, Sergeĭ Petrovich
2 Dreher, Michael
2 Farwig, Reinhard
2 Feireisl, Eduard
2 Fornaro, Simona
...and 384 more Authors
all top 5

Cited in 147 Serials

40 Journal of Differential Equations
30 Journal of Evolution Equations
24 Journal of Mathematical Analysis and Applications
18 Journal of Functional Analysis
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Mathematische Annalen
12 Integral Equations and Operator Theory
11 Mathematische Nachrichten
9 Archive for Rational Mechanics and Analysis
9 Mathematische Zeitschrift
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Discrete and Continuous Dynamical Systems
7 Journal of Mathematical Fluid Mechanics
7 Evolution Equations and Control Theory
6 Manuscripta Mathematica
6 The Annals of Applied Probability
6 SIAM Journal on Mathematical Analysis
6 Stochastic Processes and their Applications
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Applied Mathematics and Computation
5 Czechoslovak Mathematical Journal
5 Proceedings of the American Mathematical Society
5 Transactions of the American Mathematical Society
5 Journal of Mathematical Sciences (New York)
5 Nonlinear Analysis. Real World Applications
5 Communications on Pure and Applied Analysis
4 Mathematical Methods in the Applied Sciences
4 SIAM Journal on Numerical Analysis
4 Zeitschrift für Analysis und ihre Anwendungen
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Communications in Partial Differential Equations
4 Potential Analysis
4 NoDEA. Nonlinear Differential Equations and Applications
4 The Journal of Fourier Analysis and Applications
4 Boundary Value Problems
4 Discrete and Continuous Dynamical Systems. Series S
4 Science China. Mathematics
3 Journal of the Mathematical Society of Japan
3 Numerische Mathematik
3 Semigroup Forum
3 Siberian Mathematical Journal
3 Chinese Annals of Mathematics. Series B
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Journal of Inequalities and Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Pseudo-Differential Operators and Applications
3 East Asian Journal on Applied Mathematics
2 Applicable Analysis
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Advances in Mathematics
2 Applied Mathematics and Optimization
2 Journal of Computational and Applied Mathematics
2 Proceedings of the Japan Academy. Series A
2 Transactions of the Moscow Mathematical Society
2 Systems & Control Letters
2 Stochastic Analysis and Applications
2 Acta Mathematica Hungarica
2 Applied Mathematics Letters
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 SIAM Journal on Scientific Computing
2 Calculus of Variations and Partial Differential Equations
2 Electronic Journal of Probability
2 Positivity
2 International Journal of Theoretical and Applied Finance
2 Interfaces and Free Boundaries
2 Acta Mathematica Sinica. English Series
2 Methodology and Computing in Applied Probability
2 Differential Equations
2 Fixed Point Theory and Applications
2 Analysis & PDE
2 Mathematical Control and Related Fields
2 Open Mathematics
2 Advances in Operator Theory
1 Analysis Mathematica
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Journal of the Franklin Institute
1 Studia Mathematica
1 Ukrainian Mathematical Journal
1 Arkiv för Matematik
1 Mathematics of Computation
1 The Annals of Probability
1 Automatica
1 Collectanea Mathematica
1 Funkcialaj Ekvacioj. Serio Internacia
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 SIAM Journal on Control and Optimization
1 Insurance Mathematics & Economics
1 Acta Applicandae Mathematicae
1 Physica D
1 Applied Numerical Mathematics
1 Revista Matemática Iberoamericana
...and 47 more Serials
all top 5

Cited in 36 Fields

354 Partial differential equations (35-XX)
127 Operator theory (47-XX)
92 Fluid mechanics (76-XX)
66 Ordinary differential equations (34-XX)
58 Probability theory and stochastic processes (60-XX)
57 Functional analysis (46-XX)
44 Numerical analysis (65-XX)
41 Harmonic analysis on Euclidean spaces (42-XX)
35 Mechanics of deformable solids (74-XX)
25 Systems theory; control (93-XX)
19 Integral equations (45-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Biology and other natural sciences (92-XX)
16 Classical thermodynamics, heat transfer (80-XX)
14 Global analysis, analysis on manifolds (58-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
6 Differential geometry (53-XX)
6 Statistics (62-XX)
5 Geophysics (86-XX)
4 Real functions (26-XX)
4 Measure and integration (28-XX)
4 Difference and functional equations (39-XX)
4 Abstract harmonic analysis (43-XX)
4 General topology (54-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Mechanics of particles and systems (70-XX)
3 Quantum theory (81-XX)
2 Functions of a complex variable (30-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year