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Author ID: kohn.robert-v Recent zbMATH articles by "Kohn, Robert Vita"
Published as: Kohn, Robert V.; Kohn, R. V.; Kohn, Robert; Kohn, R.
Homepage: https://www.math.nyu.edu/faculty/kohn/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Co-Authors

23 single-authored
12 Otto, Felix
11 Strang, William Gilbert
11 Vogelius, Michael S.
8 Müller, Stefan
6 DeSimone, Antonio
5 Giga, Yoshikazu
5 Weinstein, Michael I.
4 Allaire, Grégoire
4 Bella, Peter
4 Choksi, Rustum
4 Serfaty, Sylvia
3 Bhattacharya, Kaushik
3 Caffarelli, Luis Ángel
3 Cherkaev, Andrej V.
3 Conti, Sergio
3 Grabovsky, Yury
3 Kobzar, Vladimir A.
3 Milton, Graeme Walter
3 Nirenberg, Louis
3 Reznikoff, Maria G.
3 Slastikov, Valeriy V.
3 Vanden-Eijnden, Eric
2 Bronsard, Lia
2 Chen, Xi
2 Drenska, Nadejda
2 Figalli, Alessio
2 Firoozye, Nikan B.
2 Girão, Pedro Martins
2 Goodman, Jonathan B.
2 Kinderlehrer, David
2 Knüpfer, Hans
2 Lin, Fang Hua
2 Lipton, Robert P.
2 Misiats, Oleksandr
2 Nguyen, Hoai-Minh
2 O’Brien, Ethan
2 Onofrei, Daniel
2 Reyna, Luis Guillermo M.
2 Temam, Roger Meyer
2 Toro, Tatiana
2 Venkatraman, Raghavendra
2 Wang, Zhilei
2 Wickramasekera, Neshan
2 Yan, Xiaodong
1 Agmon, Shmuel
1 Al Hajj Shehadeh, Hala
1 Bedrossian, Jacob
1 Berebichez, D.
1 Berestycki, Henri
1 Berger, Marsha J.
1 Birindelli, Isabeau
1 Boldrighini, Carlo
1 Bourdin, Blaise
1 Brandman, Jeremy
1 Brézis, Haïm
1 Bunimovich, Leonid Abramovich
1 Cameron, Maria Kourkina
1 Cellarosi, Francesco
1 Chang, Kung-Ching
1 Chang, Sun-Yung Alice
1 Cohen, Albert
1 Guedes de Figueiredo, Djairo
1 De Lellis, Camillo
1 Deligne, Pierre
1 E, Weinan
1 Ekeland, Ivar
1 Ericksen, Jerald Laverne
1 Fefferman, Charles Louis
1 Filippas, Stathis
1 Garroni, Adriana
1 Gurevich, Boris
1 Heider, Pascal
1 Holden, Helge
1 Illusie, Luc
1 James, Richard D.
1 Khanin, Konstantin M.
1 Klainerman, Sergiu
1 Kohn, Joseph J.
1 Kozlov, Sergeĭ Mikhaĭlovich
1 Lax, Peter David
1 Levy, Ohad
1 Li, Dong
1 Li, Xuenan
1 Li, YanYan
1 Lions, Jacques-Louis
1 Little, Thomas D.
1 Lo, Tak Shing
1 Lowe, Bruce D.
1 Lu, Jianfeng
1 Margetis, Dionisios
1 McKenney, Alan
1 Meyer, Yves F.
1 Nasar, Sylvia
1 Nash, John Forbes jun.
1 Ni, Wei-Ming
1 Niethammer, Barbara
1 Papazoglu-Statescu, Oana M.
1 Pesin, Yakov Borisovich
1 Piene, Ragni
1 Rabinowitz, Paul Henry
...and 18 more Co-Authors
all top 5

Serials

30 Communications on Pure and Applied Mathematics
8 Journal of Nonlinear Science
5 Quarterly of Applied Mathematics
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Archive for Rational Mechanics and Analysis
4 Journal of the Mechanics and Physics of Solids
3 Advances in Applied Probability
3 Communications in Mathematical Physics
3 Physica D
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Multiscale Modeling & Simulation
2 Computer Methods in Applied Mechanics and Engineering
2 Inverse Problems
2 Econometrica
2 Indiana University Mathematics Journal
2 Notre Dame Journal of Formal Logic
2 Journal of Elasticity
2 Calculus of Variations and Partial Differential Equations
2 Finance and Stochastics
2 Oberwolfach Reports
1 International Journal of Solids and Structures
1 Journal of Applied Mechanics
1 Journal of Statistical Physics
1 Metrika
1 Applied Mathematics and Optimization
1 Biometrika
1 Compositio Mathematica
1 International Economic Review
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Journal of Econometrics
1 Numerische Mathematik
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 SIAM Journal on Numerical Analysis
1 Chinese Annals of Mathematics. Series B
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 European Journal of Mechanics. A. Solids
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Continuum Mechanics and Thermodynamics
1 Discrete and Continuous Dynamical Systems
1 Interfaces and Free Boundaries
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Quantitative Finance
1 Structural and Multidisciplinary Optimization
1 The IMA Volumes in Mathematics and its Applications
1 Matapli
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Progress in Nonlinear Differential Equations and Their Applications
1 Modern Birkhäuser Classics
1 The Abel Prize

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 5,703 times in 4,062 Documents Cited by Year
Partial regularity of suitable weak solutions of the Navier-Stokes equations. Zbl 0509.35067
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
706
1982
First order interpolation inequalities with weights. Zbl 0563.46024
Caffarelli, L.; Kohn, R.; Nirenberg, Louis
595
1984
Asymptotically self-similar blow-up of semilinear heat equations. Zbl 0585.35051
Giga, Yoshikazu; Kohn, Robert V.
278
1985
Characterizing blowup using similarity variables. Zbl 0601.35052
Giga, Yoshikazu; Kohn, Robert V.
192
1987
Local minimisers and singular perturbations. Zbl 0676.49011
Kohn, Robert V.; Sternberg, Peter
185
1989
Determining conductivity by boundary measurements. Zbl 0586.35089
Kohn, Robert V.; Vogelius, Michael
160
1984
Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020
Giga, Yoshikazu; Kohn, Robert V.
149
1989
Optimal design and relaxation of variational problems. I. Zbl 0609.49008
Kohn, Robert V.; Strang, Gilbert
139
1986
The relaxation of a double-well energy. Zbl 0825.73029
Kohn, Robert V.
139
1991
Determining conductivity by boundary measurements. II: Interior results. Zbl 0595.35092
Kohn, Robert V.; Vogelius, Michael
129
1985
Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007
Kohn, Robert V.; Müller, Stefan
108
1994
Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics. Zbl 0735.35072
Bronsard, Lia; Kohn, Robert V.
100
1991
Refined asymptotics for the blow-up of \(u_ t-{\Delta}u=u^ p\). Zbl 0784.35010
Filippas, Stathis; Kohn, Robert V.
85
1992
Dual spaces of stresses and strains, with applications to Hencky plasticity. Zbl 0532.73039
Kohn, Robert V.; Temam, Roger
84
1983
Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044
Allaire, G.; Kohn, Robert V.
75
1993
Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012
Milton, Graeme W.; Kohn, Robert V.
74
1988
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
72
2002
A rescaling algorithm for the numerical calculation of blowing-up solutions. Zbl 0652.65070
Berger, Marsha; Kohn, Robert V.
69
1988
Singular perturbation and the energy of folds. Zbl 0973.49009
Jin, W.; Kohn, R. V.
69
2000
Optimal design and relaxation of variational problems. III. Zbl 0694.49004
Kohn, Robert V.; Strang, Gilbert
66
1986
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
65
2008
A deterministic-control-based approach motion by curvature. Zbl 1206.53072
Kohn, Robert; Serfaty, Sylvia
65
2006
Relaxation of a variational method for impedance computed tomography. Zbl 0659.49009
Kohn, Robert V.; Vogelius, Michael
64
1987
On the slowness of phase boundary motion in one space dimension. Zbl 0761.35044
Bronsard, Lia; Kohn, Robert V.
63
1990
Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011
Choksi, Rustum; Kohn, Robert V.; Otto, Felix
61
1999
A new model for thin plates with rapidly varying thickness. Zbl 0532.73055
Kohn, Robert V.; Vogelius, Michael
61
1984
Optimal design and relaxation of variational problems. II. Zbl 0621.49008
Kohn, Robert V.; Strang, Gilbert
58
1986
Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
58
2010
Upper bounds on coarsening rates. Zbl 1004.82011
Kohn, Robert V.; Otto, Felix
57
2002
Numerical study of a relaxed variational problem from optimal design. Zbl 0591.73119
Goodman, Jonathan; Kohn, Robert V.; Reyna, Luis
57
1986
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
56
2001
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
50
2006
New integral estimates for deformations in terms of their nonlinear strains. Zbl 0491.73023
Kohn, Robert V.
50
1982
A new model for thin plates with rapidly varying thickness. II: A convergence proof. Zbl 0565.73046
Kohn, Robert V.; Vogelius, Michael
49
1985
A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002
Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I.
47
2014
Upper bound on the coarsening rate for an epitaxial growth model. Zbl 1033.35123
Kohn, Robert V.; Yan, Xiaodong
45
2003
Another thin-film limit of micromagnetics. Zbl 1074.78012
Kohn, Robert V.; Slastikov, Valeriy V.
45
2005
Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043
Allaire, Grégoire; Kohn, Robert V.
41
1993
Restrictions on microstructure. Zbl 0808.73063
Bhattacharya, Kaushik; Firoozye, Nikan B.; James, Richard D.; Kohn, Robert V.
40
1994
Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure. Zbl 0877.73041
Grabovsky, Yury; Kohn, Robert V.
39
1995
Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211
Giga, Yoshikazu; Kohn, Robert V.
37
2011
Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Zbl 0894.73225
Bhattacharya, Kaushik; Kohn, Robert V.
35
1997
Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021
Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric
35
2007
Energy-driven pattern formation. Zbl 1140.49030
Kohn, Robert V.
34
2007
A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations. Zbl 1204.35070
Kohn, Robert V.; Serfaty, Sylvia
33
2010
Bounds on the micromagnetic energy of a uniaxial ferromagnet. Zbl 0909.49004
Choksi, Rustum; Kohn, Robert V.
32
1998
Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057
Knüpfer, Hans; Kohn, Robert V.; Otto, Felix
31
2013
Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031
Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix
30
2008
A variational method for parameter identification. Zbl 0636.65127
Kohn, Robert V.; Lowe, Bruce D.
29
1988
Topics in the mathematical modelling of composite materials. Zbl 0870.00018
28
1997
Wrinkles as the result of compressive stresses in an annular thin film. Zbl 1302.74105
Bella, Peter; Kohn, Robert V.
27
2014
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
26
2000
Identification of an unknown conductivity by means of measurements at the boundary. Zbl 0573.35084
Kohn, Robert V.; Vogelius, Michael
26
1984
Numerical implementation of a variational method for electrical impedance tomography. Zbl 0718.65089
Kohn, Robert V.; McKenney, Alan
26
1990
Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042
Allaire, Grégoire; Kohn, Robert V.
24
1993
Some model problems of polycrystal plasticity with deficient basic crystals. Zbl 0932.74012
Kohn, Robert V.; Little, Thomas D.
22
1999
A geometric model for coarsening during spiral-mode growth of thin films. Zbl 0962.74522
Schulze, T. P.; Kohn, Robert V.
21
1999
Magnetism and homogenization of microresonators. Zbl 1159.78350
Kohn, Robert V.; Shipman, Stephen P.
21
2008
Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044
Choksi, R.; Kohn, R. V.; Otto, F.
21
2004
Metric-induced wrinkling of a thin elastic sheet. Zbl 1305.74061
Bella, Peter; Kohn, Robert V.
20
2014
Explicit relaxation of a variational problem in optimal design. Zbl 0527.49002
Kohn, Robert V.; Strang, Gilbert
19
1983
Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012
Kohn, Robert V.; Lipton, Robert
18
1988
Continuum relaxation of interacting steps on crystal surfaces in \(2+1\) dimensions. Zbl 1124.35088
Margetis, Dionisios; Kohn, Robert V.
18
2006
A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings. Zbl 0605.73048
Kohn, Robert V.; Vogelius, Michael
18
1986
minimal energy for elastic inclusions. Zbl 1419.74128
Knüpfer, Hans; Kohn, Robert V.
18
2011
The initial-value problem for measure-valued solutions of a canonical \(2 \times 2\) system with linearly degenerate fields. Zbl 0784.35059
E, Weinan; Kohn, Robert V.
18
1991
Introduction (to Topics in the mathematical modelling of composite materials). Zbl 0913.35012
Cherkaev, Andrej V.; Kohn, Robert V.
17
1997
Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction. Zbl 0870.73041
Grabovsky, Yury; Kohn, Robert V.
17
1995
Some three-dimensional problems related to dielectric breakdown and polycrystal plasticity. Zbl 1041.74059
Garroni, Adriana; Kohn, Robert V.
17
2003
Energy scaling laws for conically constrained thin elastic sheets. Zbl 1329.74096
Brandman, Jeremy; Kohn, Robert V.; Nguyen, Hoai-Minh
17
2013
Magnetic elements at finite temperature and large deviation theory. Zbl 1107.82068
Kohn, R. V.; Reznikoff, M. G.; Vanden-Eijnden, E.
16
2005
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
16
2001
Optimal fine-scale structures in compliance minimization for a shear load. Zbl 1383.74073
Kohn, Robert V.; Wirth, Benedikt
16
2016
On bounding the effective conductivity of anisotropic composites. Zbl 0631.73012
Kohn, Robert V.; Milton, Graeme W.
16
1986
Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials. Zbl 0806.73038
Allaire, Grégoire; Kohn, Robert V.
15
1994
Partial regularity for optimal design problems involving both bulk and surface energies. Zbl 0946.49034
Lin, F. H.; Kohn, Robert V.
15
1999
Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law. Zbl 1421.74070
Kohn, Robert V.; Nguyen, Hoai-Minh
15
2013
Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature. Zbl 0791.65063
Girão, Pedro Martins; Kohn, Robert V.
14
1994
Asymptotic estimation and hypothesis testing results for vector linear time series models. Zbl 0422.62081
Kohn, R.
14
1979
Sharp-interface limit of the Allen-Cahn action functional in one space dimension. Zbl 1094.60044
Kohn, Robert V.; Reznikoff, Maria G.; Tonegawa, Yoshihiro
14
2006
Numerical analysis of a steepest-descent PDE model for surface relaxation below the roughening temperature. Zbl 1219.82241
Kohn, R. V.; Versieux, H. M.
14
2010
Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
13
2003
The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime. Zbl 1233.82045
Shehadeh, Hala Al Hajj; Kohn, Robert V.; Weare, Jonathan
13
2011
Blister patterns and energy minimization in compressed thin films on compliant substrates. Zbl 1442.74123
Bedrossian, Jacob; Kohn, Robert V.
13
2015
The string method as a dynamical system. Zbl 1250.37014
Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric
13
2011
Effective dynamics for ferromagnetic thin films: a rigorous justification. Zbl 1145.82358
Kohn, Robert V.; Slastikov, Valeriy V.
12
2005
Coarsening of folds in hanging drapes. Zbl 1426.74215
Bella, Peter; Kohn, Robert V.
12
2017
On the spectral decomposition of stationary time series using Walsh functions. I. Zbl 0441.62082
Kohn, R.
11
1980
Optimal design in elasticity and plasticity. Zbl 0593.73091
Strang, Gilbert; Kohn, Robert V.
11
1986
Hencky-Prandtl nets and constrained Michell trusses. Zbl 0487.73111
Strang, Gilbert; Kohn, Robert V.
11
1983
Geometric parameters and the relaxation of multiwell energies. Zbl 0797.73051
Firoozye, Nikan B.; Kohn, Robert V.
10
1993
Optimization of structural topology in the high-porosity regime. Zbl 1149.74045
Bourdin, Blaise; Kohn, Robert V.
10
2008
Optimization of scattering resonances. Zbl 1273.74045
Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I.
10
2008
Asymptotic properties of time domain Gaussian estimators. Zbl 0376.60028
Kohn, R.
9
1978
Relaxation and regularization of nonconvex variational problems. Zbl 0819.49014
Kohn, Robert V.; Müller, Stefan
8
1992
Coarsening rates for models of multicomponent phase separation. Zbl 1059.80010
Kohn, Robert V.; Yan, Xiaodong
8
2004
Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1303.91081
Chen, Xi; Kohn, Robert V.
8
2011
On the bending and twisting of rods with misfit. Zbl 1387.74065
Kohn, Robert V.; O’Brien, Ethan
8
2018
Surface relaxation below the roughening temperature: some recent progress and open questions. Zbl 1252.35260
Kohn, Robert V.
8
2012
Duality relations for non-Ohmic composites, with applications to behavior near percolation. Zbl 0946.82049
Levy, Ohad; Kohn, Robert V.
7
1998
Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection. Zbl 1504.74067
Conti, Sergio; Kohn, Robert V.; Misiats, Oleksandr
1
2022
Prediction with expert advice: a PDE perspective. Zbl 1439.35484
Drenska, Nadejda; Kohn, Robert V.
7
2020
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
On the bending and twisting of rods with misfit. Zbl 1387.74065
Kohn, Robert V.; O’Brien, Ethan
8
2018
The wrinkling of a twisted ribbon. Zbl 1397.74079
Kohn, Robert V.; O’Brien, Ethan
7
2018
Topics in the mathematical modelling of composite materials. Reprint of the 1997 edition. Zbl 1397.01040
2
2018
Coarsening of folds in hanging drapes. Zbl 1426.74215
Bella, Peter; Kohn, Robert V.
12
2017
Wrinkling of a thin circular sheet bonded to a spherical substrate. Zbl 1404.74088
Bella, Peter; Kohn, Robert V.
4
2017
Optimal fine-scale structures in compliance minimization for a shear load. Zbl 1383.74073
Kohn, Robert V.; Wirth, Benedikt
16
2016
Blister patterns and energy minimization in compressed thin films on compliant substrates. Zbl 1442.74123
Bedrossian, Jacob; Kohn, Robert V.
13
2015
A variational perspective on cloaking by anomalous localized resonance. Zbl 1366.78002
Kohn, R. V.; Lu, J.; Schweizer, B.; Weinstein, M. I.
47
2014
Wrinkles as the result of compressive stresses in an annular thin film. Zbl 1302.74105
Bella, Peter; Kohn, Robert V.
27
2014
Metric-induced wrinkling of a thin elastic sheet. Zbl 1305.74061
Bella, Peter; Kohn, Robert V.
20
2014
Nucleation barriers for the cubic-to-tetragonal phase transformation. Zbl 1322.74057
Knüpfer, Hans; Kohn, Robert V.; Otto, Felix
31
2013
Energy scaling laws for conically constrained thin elastic sheets. Zbl 1329.74096
Brandman, Jeremy; Kohn, Robert V.; Nguyen, Hoai-Minh
17
2013
Analysis of a compressed thin film bonded to a compliant substrate: the energy scaling law. Zbl 1421.74070
Kohn, Robert V.; Nguyen, Hoai-Minh
15
2013
Erratum to: Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1309.91065
Chen, Xi; Kohn, Robert V.
5
2013
Surface relaxation below the roughening temperature: some recent progress and open questions. Zbl 1252.35260
Kohn, Robert V.
8
2012
Scale-invariant extinction time estimates for some singular diffusion equations. Zbl 1223.35211
Giga, Yoshikazu; Kohn, Robert V.
37
2011
minimal energy for elastic inclusions. Zbl 1419.74128
Knüpfer, Hans; Kohn, Robert V.
18
2011
The evolution of a crystal surface: analysis of a one-dimensional step train connecting two facets in the ADL regime. Zbl 1233.82045
Shehadeh, Hala Al Hajj; Kohn, Robert V.; Weare, Jonathan
13
2011
The string method as a dynamical system. Zbl 1250.37014
Cameron, Maria; Kohn, Robert V.; Vanden-Eijnden, Eric
13
2011
Asset price bubbles from heterogeneous beliefs about mean reversion rates. Zbl 1303.91081
Chen, Xi; Kohn, Robert V.
8
2011
Cloaking via change of variables for the Helmholtz equation. Zbl 1194.35505
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
58
2010
A deterministic-control-based approach to fully nonlinear parabolic and elliptic equations. Zbl 1204.35070
Kohn, Robert V.; Serfaty, Sylvia
33
2010
Numerical analysis of a steepest-descent PDE model for surface relaxation below the roughening temperature. Zbl 1219.82241
Kohn, R. V.; Versieux, H. M.
14
2010
Erratum: Cloaking via change of variables for the Helmholtz equation. Zbl 1221.35449
Kohn, Robert V.; Onofrei, Daniel; Vogelius, Michael S.; Weinstein, Michael I.
4
2010
Cloaking via change of variables in electric impedance tomography. Zbl 1153.35406
Kohn, R. V.; Shen, H.; Vogelius, M. S.; Weinstein, M. I.
65
2008
Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031
Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix
30
2008
Magnetism and homogenization of microresonators. Zbl 1159.78350
Kohn, Robert V.; Shipman, Stephen P.
21
2008
Optimization of structural topology in the high-porosity regime. Zbl 1149.74045
Bourdin, Blaise; Kohn, Robert V.
10
2008
Optimization of scattering resonances. Zbl 1273.74045
Heider, Pascal; Berebichez, D.; Kohn, Robert V.; Weinstein, M. I.
10
2008
Second-order PDE’s and deterministic games. Zbl 1179.91017
Kohn, Robert V.; Serfaty, Sylvia
2
2008
Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation. Zbl 1154.35021
Kohn, Robert V.; Otto, Felix; Reznikoff, Maria G.; Vanden-Eijnden, Eric
35
2007
Energy-driven pattern formation. Zbl 1140.49030
Kohn, Robert V.
34
2007
Geometrically constrained walls. Zbl 1112.49036
Kohn, Robert V.; Slastikov, Valeriy V.
3
2007
A deterministic-control-based approach motion by curvature. Zbl 1206.53072
Kohn, Robert; Serfaty, Sylvia
65
2006
Recent analytical developments in micromagnetics. Zbl 1151.35426
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
50
2006
Continuum relaxation of interacting steps on crystal surfaces in \(2+1\) dimensions. Zbl 1124.35088
Margetis, Dionisios; Kohn, Robert V.
18
2006
Sharp-interface limit of the Allen-Cahn action functional in one space dimension. Zbl 1094.60044
Kohn, Robert V.; Reznikoff, Maria G.; Tonegawa, Yoshihiro
14
2006
On the equivalence of the static and dynamic asset allocation problems. Zbl 1136.91451
Kohn, Robert V.; Papazoglu-Statescu, Oana M.
3
2006
Another thin-film limit of micromagnetics. Zbl 1074.78012
Kohn, Robert V.; Slastikov, Valeriy V.
45
2005
Magnetic elements at finite temperature and large deviation theory. Zbl 1107.82068
Kohn, R. V.; Reznikoff, M. G.; Vanden-Eijnden, E.
16
2005
Effective dynamics for ferromagnetic thin films: a rigorous justification. Zbl 1145.82358
Kohn, Robert V.; Slastikov, Valeriy V.
12
2005
Energy minimization and flux domain structure in the intermediate state of a type-I superconductor. Zbl 1136.82044
Choksi, R.; Kohn, R. V.; Otto, F.
21
2004
Coarsening rates for models of multicomponent phase separation. Zbl 1059.80010
Kohn, Robert V.; Yan, Xiaodong
8
2004
Upper bound on the coarsening rate for an epitaxial growth model. Zbl 1033.35123
Kohn, Robert V.; Yan, Xiaodong
45
2003
Some three-dimensional problems related to dielectric breakdown and polycrystal plasticity. Zbl 1041.74059
Garroni, Adriana; Kohn, Robert V.
17
2003
Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall. Zbl 1059.82046
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
13
2003
A reduced theory for thin-film micromagnetics. Zbl 1027.82042
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
72
2002
Upper bounds on coarsening rates. Zbl 1004.82011
Kohn, Robert V.; Otto, Felix
57
2002
A new approach to the continuum modeling of epitaxial growth: slope selection, coarsening, and the role of the uphill current. Zbl 1041.82014
Lo, Tak Shing; Kohn, Robert V.
6
2002
A compactness result in the gradient theory of phase transitions. Zbl 0986.49009
DeSimone, Antonio; Müller, Stefan; Kohn, Robert V.; Otto, Felix
56
2001
Two-dimensional modelling of soft ferromagnetic films. Zbl 1065.74028
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix; Schäfer, Rudolf
16
2001
Singular perturbation and the energy of folds. Zbl 0973.49009
Jin, W.; Kohn, R. V.
69
2000
Magnetic microstructures – a paradigm of multiscale problems. Zbl 0991.82038
DeSimone, Antonio; Kohn, Robert V.; Müller, Stefan; Otto, Felix
26
2000
Geometrically nonlinear shape-memory polycrystals made from a two-variant material. Zbl 0978.74015
Kohn, Robert V.; Niethammer, Barbara
2
2000
Domain branching in uniaxial ferromagnets: A scaling law for the minimum energy. Zbl 1023.82011
Choksi, Rustum; Kohn, Robert V.; Otto, Felix
61
1999
Some model problems of polycrystal plasticity with deficient basic crystals. Zbl 0932.74012
Kohn, Robert V.; Little, Thomas D.
22
1999
A geometric model for coarsening during spiral-mode growth of thin films. Zbl 0962.74522
Schulze, T. P.; Kohn, Robert V.
21
1999
Partial regularity for optimal design problems involving both bulk and surface energies. Zbl 0946.49034
Lin, F. H.; Kohn, Robert V.
15
1999
Some examples of nonlinear homogenization involving nearly degenerate energies. Zbl 0926.74099
Bhattacharya, Kaushik; Kohn, Robert V.; Kozlov, S.
2
1999
Bounds on the micromagnetic energy of a uniaxial ferromagnet. Zbl 0909.49004
Choksi, Rustum; Kohn, Robert V.
32
1998
Duality relations for non-Ohmic composites, with applications to behavior near percolation. Zbl 0946.82049
Levy, Ohad; Kohn, Robert V.
7
1998
Elastic energy minimization and the recoverable strains of polycrystalline shape-memory materials. Zbl 0894.73225
Bhattacharya, Kaushik; Kohn, Robert V.
35
1997
Topics in the mathematical modelling of composite materials. Zbl 0870.00018
28
1997
Introduction (to Topics in the mathematical modelling of composite materials). Zbl 0913.35012
Cherkaev, Andrej V.; Kohn, Robert V.
17
1997
The crystalline algorithm for computing motion by curvature. Zbl 0869.65075
Girão, Pedro Martins; Kohn, Robert V.
2
1996
Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure. Zbl 0877.73041
Grabovsky, Yury; Kohn, Robert V.
39
1995
Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. I: The confocal ellipse construction. Zbl 0870.73041
Grabovsky, Yury; Kohn, Robert V.
17
1995
Anisotropy of the Vigdergauz microstructure. Zbl 0844.73048
Grabovsky, Yury; Kohn, Robert V.
3
1995
Surface energy and microstructure in coherent phase transitions. Zbl 0803.49007
Kohn, Robert V.; Müller, Stefan
108
1994
Restrictions on microstructure. Zbl 0808.73063
Bhattacharya, Kaushik; Firoozye, Nikan B.; James, Richard D.; Kohn, Robert V.
40
1994
Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials. Zbl 0806.73038
Allaire, Grégoire; Kohn, Robert V.
15
1994
Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature. Zbl 0791.65063
Girão, Pedro Martins; Kohn, Robert V.
14
1994
Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Zbl 0794.73044
Allaire, G.; Kohn, Robert V.
75
1993
Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials. Zbl 0805.73043
Allaire, Grégoire; Kohn, Robert V.
41
1993
Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions. Zbl 0805.73042
Allaire, Grégoire; Kohn, Robert V.
24
1993
Geometric parameters and the relaxation of multiwell energies. Zbl 0797.73051
Firoozye, Nikan B.; Kohn, Robert V.
10
1993
Refined asymptotics for the blow-up of \(u_ t-{\Delta}u=u^ p\). Zbl 0784.35010
Filippas, Stathis; Kohn, Robert V.
85
1992
Relaxation and regularization of nonconvex variational problems. Zbl 0819.49014
Kohn, Robert V.; Müller, Stefan
8
1992
Numerical structural optimization via a relaxed formulation. Zbl 0767.73049
Kohn, Robert V.
1
1992
The relaxation of a double-well energy. Zbl 0825.73029
Kohn, Robert V.
139
1991
Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics. Zbl 0735.35072
Bronsard, Lia; Kohn, Robert V.
100
1991
The initial-value problem for measure-valued solutions of a canonical \(2 \times 2\) system with linearly degenerate fields. Zbl 0784.35059
E, Weinan; Kohn, Robert V.
18
1991
On the slowness of phase boundary motion in one space dimension. Zbl 0761.35044
Bronsard, Lia; Kohn, Robert V.
63
1990
Numerical implementation of a variational method for electrical impedance tomography. Zbl 0718.65089
Kohn, Robert V.; McKenney, Alan
26
1990
The relationship between linear and nonlinear variational models of coherent phase transitions. Zbl 0692.73016
Kohn, Robert V.
4
1990
Local minimisers and singular perturbations. Zbl 0676.49011
Kohn, Robert V.; Sternberg, Peter
185
1989
Nondegeneracy of blow up for semilinear heat equations. Zbl 0703.35020
Giga, Yoshikazu; Kohn, Robert V.
149
1989
Removability of blow-up points for semilinear heat equations. Zbl 0693.35015
Giga, Yoshikazu; Kohn, Robert V.
1
1989
Random media and composites. Proceedings of the SIAM workshop, Leesburg, Virginia (USA), December 7-10, 1988. Zbl 0707.00028
1
1989
Variational bounds on the effective moduli of anisotropic composites. Zbl 0672.73012
Milton, Graeme W.; Kohn, Robert V.
74
1988
A rescaling algorithm for the numerical calculation of blowing-up solutions. Zbl 0652.65070
Berger, Marsha; Kohn, Robert V.
69
1988
A variational method for parameter identification. Zbl 0636.65127
Kohn, Robert V.; Lowe, Bruce D.
29
1988
Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. Zbl 0662.73012
Kohn, Robert V.; Lipton, Robert
18
1988
Optimal design of a two-way conductor. Zbl 0656.73047
Strang, Gilbert; Kohn, Robert V.
2
1988
Characterizing blowup using similarity variables. Zbl 0601.35052
Giga, Yoshikazu; Kohn, Robert V.
192
1987
Relaxation of a variational method for impedance computed tomography. Zbl 0659.49009
Kohn, Robert V.; Vogelius, Michael
64
1987
The constrained least gradient problem. Zbl 0668.73060
Kohn, Robert V.; Strang, Gilbert
7
1987
...and 35 more Documents
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Cited by 3,940 Authors

46 Conti, Sergio
44 Kohn, Robert Vita
35 Zaag, Hatem
33 Wei, Juncheng
30 Giga, Yoshikazu
29 Nguyen, Hoai-Minh
29 Uhlmann, Gunther Alberto
26 Kang, Dongsheng
25 Milton, Graeme Walter
23 Otto, Felix
23 Wang, Yanqing
22 Ignat, Radu
22 Seregin, Gregory A.
21 Chae, Dongho
21 Liu, Hongyu
20 Müller, Stefan
19 Dolbeault, Jean
19 Pedregal, Pablo
18 Fonseca, Irene
18 Han, Pigong
18 Ortiz, Michael
17 Del Pino, Manuel A.
16 Kang, Hyeonbae
16 Souplet, Philippe
16 Vogelius, Michael S.
15 Li, Jichun
15 Lipton, Robert P.
15 Maremonti, Paolo
15 Muratov, Cyrill B.
15 Slastikov, Valeriy V.
15 Sternberg, Peter J.
15 Wang, Changyou
14 Allaire, Grégoire
14 Barker, Tobias
14 Carstensen, Carsten
14 Francfort, Gilles A.
14 Grabovsky, Yury
14 Guo, Boling
14 Guo, Jong-Shenq
14 Lassas, Matti J.
14 Mizoguchi, Noriko
14 Rossi, Julio Daniel
14 Schonbek, Maria Elena
14 Šverák, Vladimír
14 Tsai, Tai-Peng
14 Wang, Cheng
13 Abdellaoui, Boumediene
13 Galaktionov, Victor Aleksandrovich
13 Harutyunyan, Davit
13 Ponte Castañeda, Pedro
13 Ruzhansky, Michael V.
13 Zhang, Kewei
13 Zheng, Sining
12 Bronsard, Lia
12 Choe, Hi Jun
12 Dolzmann, Georg
12 Folino, Raffaele
12 Hou, Thomas Yizhao
12 Kang, Kyungkeun
12 Kukavica, Igor
12 Liu, Qiao
12 Merle, Frank
12 Peral Alonso, Ireneo
12 Velázquez, Juan J. L.
12 Zwicknagl, Barbara Maria
11 Ammari, Habib
11 Bouchitté, Guy
11 Chen, Wenbin
11 Esteban, Maria J.
11 Hackl, Klaus
11 Knüpfer, Hans
11 Lam, Nguyen
11 Li, Hongjie
11 Lin, Fang Hua
11 Liu, Jianguo
11 Liu, Qing
11 Lu, Guozhen
11 Olbermann, Heiner
11 Rădulescu, Vicenţiu D.
11 Ren, Xiaofeng
11 Rüland, Angkana
11 Suragan, Durvudkhan
11 Wolf, Jörg
11 Wu, Gang
11 Zhao, Xiaopeng
10 Alessandrini, Giovanni
10 Andrei, Neculai
10 Bradshaw, Zachary
10 Chen, Caisheng
10 Ciarlet, Philippe Gaston
10 Ghoussoub, Nassif A.
10 Grujić, Zoran
10 Guo, Zongming
10 Harrach, Bastian
10 Herrero, Miguel Ángel
10 Hu, Bei
10 Musina, Roberta
10 Nesi, Vincenzo
10 Vasseur, Alexis F.
10 Wang, Shu
...and 3,840 more Authors
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Cited in 422 Serials

194 Journal of Differential Equations
187 Archive for Rational Mechanics and Analysis
165 Journal of Mathematical Analysis and Applications
136 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
130 Calculus of Variations and Partial Differential Equations
83 Journal of the Mechanics and Physics of Solids
78 Journal of Functional Analysis
76 Communications in Mathematical Physics
72 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
69 SIAM Journal on Mathematical Analysis
65 Communications in Partial Differential Equations
60 Computer Methods in Applied Mechanics and Engineering
53 Communications on Pure and Applied Mathematics
53 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
53 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
47 Journal de Mathématiques Pures et Appliquées. Neuvième Série
46 Physica D
45 Journal of Mathematical Physics
42 Journal of Elasticity
42 Journal of Nonlinear Science
42 Discrete and Continuous Dynamical Systems
42 Journal of Mathematical Fluid Mechanics
41 Mathematical Methods in the Applied Sciences
40 Journal of Computational Physics
38 Applicable Analysis
37 Mathematische Annalen
36 Communications on Pure and Applied Analysis
35 Transactions of the American Mathematical Society
34 Computers & Mathematics with Applications
33 ZAMP. Zeitschrift für angewandte Mathematik und Physik
30 Journal of Mathematical Sciences (New York)
30 Comptes Rendus. Mathématique. Académie des Sciences, Paris
29 Inverse Problems
28 Journal of Computational and Applied Mathematics
28 Applied Mathematics Letters
28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
25 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Proceedings of the American Mathematical Society
25 Continuum Mechanics and Thermodynamics
25 Structural and Multidisciplinary Optimization
24 The Journal of Geometric Analysis
23 Communications in Contemporary Mathematics
22 NoDEA. Nonlinear Differential Equations and Applications
22 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
22 Science China. Mathematics
22 Nonlinear Analysis. Theory, Methods & Applications
21 Applied Mathematics and Computation
21 Journal of Scientific Computing
21 SIAM Journal on Applied Mathematics
21 Nonlinear Analysis. Real World Applications
20 Numerische Mathematik
20 European Journal of Applied Mathematics
19 Nonlinearity
19 Advances in Mathematics
18 Acta Applicandae Mathematicae
18 Mathematics and Mechanics of Solids
17 Duke Mathematical Journal
17 Chinese Annals of Mathematics. Series B
17 Analysis & PDE
16 Applied Mathematics and Optimization
16 Journal of Optimization Theory and Applications
16 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
15 Quarterly of Applied Mathematics
15 Journal of Evolution Equations
15 Boundary Value Problems
14 SIAM Journal on Numerical Analysis
14 Multiscale Modeling & Simulation
13 Rocky Mountain Journal of Mathematics
13 Discrete and Continuous Dynamical Systems. Series B
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Inverse Problems and Imaging
12 Journal of Fluid Mechanics
12 Journal of Statistical Physics
12 RAIRO. Modélisation Mathématique et Analyse Numérique
12 Japan Journal of Industrial and Applied Mathematics
12 Applications of Mathematics
12 Journal of Dynamics and Differential Equations
12 Abstract and Applied Analysis
12 Journal of the European Mathematical Society (JEMS)
12 Acta Mathematica Sinica. English Series
12 Advanced Nonlinear Studies
12 Milan Journal of Mathematics
12 Inverse Problems in Science and Engineering
12 Advances in Nonlinear Analysis
11 International Journal of Engineering Science
11 Journal d’Analyse Mathématique
11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Mathematics of Computation
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 International Journal for Numerical Methods in Engineering
10 Manuscripta Mathematica
10 Bulletin of the American Mathematical Society. New Series
10 Journal of Inverse and Ill-Posed Problems
10 European Journal of Mechanics. A. Solids
9 Indiana University Mathematics Journal
9 Probability Theory and Related Fields
9 Asymptotic Analysis
9 Mediterranean Journal of Mathematics
9 Complex Variables and Elliptic Equations
9 Discrete and Continuous Dynamical Systems. Series S
...and 322 more Serials
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Cited in 57 Fields

2,800 Partial differential equations (35-XX)
882 Mechanics of deformable solids (74-XX)
747 Fluid mechanics (76-XX)
673 Calculus of variations and optimal control; optimization (49-XX)
393 Numerical analysis (65-XX)
222 Statistical mechanics, structure of matter (82-XX)
204 Optics, electromagnetic theory (78-XX)
167 Real functions (26-XX)
164 Functional analysis (46-XX)
128 Differential geometry (53-XX)
123 Global analysis, analysis on manifolds (58-XX)
108 Operator theory (47-XX)
89 Probability theory and stochastic processes (60-XX)
71 Classical thermodynamics, heat transfer (80-XX)
63 Biology and other natural sciences (92-XX)
58 Operations research, mathematical programming (90-XX)
53 Ordinary differential equations (34-XX)
50 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
38 Harmonic analysis on Euclidean spaces (42-XX)
34 Dynamical systems and ergodic theory (37-XX)
34 Computer science (68-XX)
34 Quantum theory (81-XX)
33 Measure and integration (28-XX)
31 Integral equations (45-XX)
30 Systems theory; control (93-XX)
27 Potential theory (31-XX)
23 Functions of a complex variable (30-XX)
23 Information and communication theory, circuits (94-XX)
20 Mechanics of particles and systems (70-XX)
18 Topological groups, Lie groups (22-XX)
18 Geophysics (86-XX)
14 Approximations and expansions (41-XX)
12 Abstract harmonic analysis (43-XX)
12 Statistics (62-XX)
11 Convex and discrete geometry (52-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
7 Special functions (33-XX)
7 Difference and functional equations (39-XX)
6 General and overarching topics; collections (00-XX)
6 Several complex variables and analytic spaces (32-XX)
6 General topology (54-XX)
5 History and biography (01-XX)
5 Integral transforms, operational calculus (44-XX)
4 Relativity and gravitational theory (83-XX)
4 Astronomy and astrophysics (85-XX)
3 Mathematical logic and foundations (03-XX)
3 Combinatorics (05-XX)
3 Manifolds and cell complexes (57-XX)
2 Number theory (11-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic topology (55-XX)

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