## Kinderlehrer, David

Compute Distance To:
 Author ID: kinderlehrer.david Published as: Kinderlehrer, David; Kinderlehrer, D. Homepage: http://www.math.cmu.edu/math/faculty/kinderlehrerdavid External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef
 Documents Indexed: 113 Publications since 1969, including 3 Books 10 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 62 Co-Authors with 93 Joint Publications 2,461 Co-Co-Authors
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### Co-Authors

 31 single-authored 10 Hardt, Robert M. 9 Ta’asan, Shlomo 8 Pedregal, Pablo 7 Barmak, Katayun 7 Chipot, Michel 7 Ericksen, Jerald Laverne 7 Kowalczyk, Michał 7 Nirenberg, Louis 6 Emelianenko, Maria 5 Jordan, Richard 5 Lin, Fang Hua 5 Stampacchia, Guido 4 Brézis, Haïm 4 Eggeling, Eva 4 Epshteyn, Yekaterina 4 Hastings, Stuart P. 4 James, Richard D. 4 Otto, Felix 4 Spruck, Joel 3 Dafermos, Constantine M. 3 Golovaty, Dmitry 3 Luskin, Mitchell 3 Ma, Ling 2 Caffarelli, Luis Ángel 2 Collins, Charles R. 2 Fonseca, Irene 2 Friedman, Avner 2 Kohn, Robert Vita 2 Livshits, Irene 2 McLeod, John Bryce 2 Ou, Biao 2 Sharp, Richard W. 2 Slemrod, Marshall 2 Vergara Caffarelli, Giorgio 2 Walkington, Noel J. 1 Agmon, Shmuel 1 Antman, Stuart S. 1 Ball, John MacLeod 1 Bardsley, Patrick 1 Berestycki, Henri 1 Birindelli, Isabeau 1 Blanchet, Adrien 1 Bona, Jerry Lloyd 1 Bowick, Mark J. 1 Carrillo de la Plata, José Antonio 1 Chang, Kung-Ching 1 Chang, Sun-Yung Alice 1 Guedes de Figueiredo, Djairo 1 Dolbeault, Jean 1 Ekeland, Ivar 1 Fefferman, Charles Louis 1 Gastaldi, Fabio 1 Heath, David C. 1 Hildebrandt, Stefan 1 Hilhorst, Danielle 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Laurençot, Philippe 1 Lax, Peter David 1 Li, YanYan 1 Lions, Jacques-Louis 1 Lisini, Stefano 1 Liu, Chun 1 Mason, Darren E. 1 Menon, Govind K. 1 Miranda, Mario J. 1 Monsaingeon, Léonard 1 Müller, Ingo 1 Ni, Wei-Ming 1 Olech, Michał 1 Podio-Guidugli, Paulo 1 Rabinowitz, Paul Henry 1 Radin, Charles 1 Shatah, Jalal 1 Tarantello, Gabriella 1 Tian, Gang 1 Torres, Claudio E. 1 Tudorascu, Adrian 1 Varadhan, S. R. Srinivasa 1 Xu, Xiang 1 Yau, Shing-Tung
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### Serials

 7 The IMA Volumes in Mathematics and its Applications 5 Archive for Rational Mechanics and Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 SIAM Journal on Mathematical Analysis 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Indiana University Mathematics Journal 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Discrete and Continuous Dynamical Systems. Series B 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Applied Mathematics and Optimization 2 SIAM Journal on Scientific Computing 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Bulletin of the American Mathematical Society 1 Communications in Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Journal of Differential Equations 1 Meccanica 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Notices of the American Mathematical Society 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Mathematics and Mechanics 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Classics in Applied Mathematics 1 Lecture Notes in Mathematics 1 IAS/Park City Mathematics Series 1 Differential Equations and Applications
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### Fields

 67 Partial differential equations (35-XX) 45 Calculus of variations and optimal control; optimization (49-XX) 34 Mechanics of deformable solids (74-XX) 26 Statistical mechanics, structure of matter (82-XX) 12 Probability theory and stochastic processes (60-XX) 9 General and overarching topics; collections (00-XX) 8 Fluid mechanics (76-XX) 8 Biology and other natural sciences (92-XX) 7 Numerical analysis (65-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 Measure and integration (28-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

102 Publications have been cited 3,973 times in 3,338 Documents Cited by Year
An introduction to variational inequalities and their applications. Zbl 0457.35001
Kinderlehrer, David; Stampacchia, Guido
1980
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
1998
An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003
Kinderlehrer, David; Stampacchia, Guido
2000
Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
1986
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
1991
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
1977
Equilibrium configurations of crystals. Zbl 0673.73012
Chipot, Michel; Kinderlehrer, David
1988
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
1994
The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011
Brézis, Haïm; Kinderlehrer, David
1974
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
1978
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
1975
Weak convergence of integrands and the Young measure representation. Zbl 0757.49014
Kinderlehrer, David; Pedregal, Pablo
1992
Potential methods in variational inequalities. Zbl 0455.49010
Caffarelli, L. A.; Kinderlehrer, D.
1980
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
1988
Smoothness of linear laminates. Zbl 0617.73062
Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara
1986
Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072
Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido
1978
Theory of diffusionless phase transitions. Zbl 0991.74504
James, Richard; Kinderlehrer, David
1989
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
1978
Remarks about Signorini’s problem in linear elasticity. Zbl 0482.73017
Kinderlehrer, David
1981
Evolution of grain boundaries. Zbl 1036.74041
Kinderlehrer, David; Liu, Chun
2001
The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092
Kinderlehrer, David
1981
Remarks about equilibrium configurations of crystals. Zbl 0850.73037
Kinderlehrer, David
1988
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
1978
A hybrid variational principle for the Keller-Segel system in $$\mathbb{R}^{2}$$. Zbl 1334.35086
Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano
2015
Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121
Kinderlehrer, David; Walkington, Noel J.
1999
Elastic plastic deformation. Zbl 0522.73029
Hardt, Robert; Kinderlehrer, David
1983
Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067
Collins, Charles; Kinderlehrer, David; Luskin, Mitchell
1991
Free energy and the Fokker-Planck equation. Zbl 1029.82507
Jordan, Richard; Kinderlehrer, David; Otto, Felix
1997
Variational inequalities and free boundary problems. Zbl 0382.35004
Kinderlehrer, David
1978
Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045
Chipot, M.; Collins, C.; Kinderlehrer, D.
1995
The shape and smoothness of stable plasma configurations. Zbl 0409.76095
Kinderlehrer, David; Spruck, Joel
1978
Mathematical questions of liquid crystal theory. Zbl 0704.76005
Hardt, R.; Kinderlehrer, D.
1988
The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014
Kinderlehrer, D.
1971
Theory and applications of liquid crystals. Zbl 0713.76006
1987
How a minimal surface leaves an obstacle. Zbl 0268.49050
Kinderlehrer, David
1973
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167
Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang
2017
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
1994
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
2002
A variational approach to modeling and simulation of grain growth. Zbl 1126.82044
Kinderlehrer, David; Livshits, Irene; Ta’asan, Shlomo
2006
An introduction to variational inequalities and their applications. (Vvedenie v variatsionnye neravenstva i ikh prilozheniya). Transl. from the English. Zbl 0551.35003
Kinderlehrer, David; Stampacchia, Guido
1983
The free boundary determined by the solution to a differential equation. Zbl 0336.35031
Kinderlehrer, David
1976
Some regularity results in ferromagnetism. Zbl 0958.35136
Hardt, Robert; Kinderlehrer, David
2000
The variety of configurations of static liquid crystals. Zbl 0723.58018
Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau
1990
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
2003
Variational inequalities with lower dimensional obstacles. Zbl 0263.49008
Kinderlehrer, David
1971
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
2004
Recent developments in liquid crystal theory. Zbl 0729.76009
Kinderlehrer, D.
1991
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
2004
Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
1979
Towards a statistical theory of texture evolution in polycrystals. Zbl 1186.37095
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
2008
Minimal surfaces whose boundaries contain spikes. Zbl 0193.39301
Kinderlehrer, D.
1970
The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085
Kinderlehrer, David; Ou, Biao; Walkington, Nöel
1993
Second variation of liquid crystal energy at $$x/ |{}x|{}$$. Zbl 0761.49012
Kinderlehrer, David; Ou, Biao
1992
The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503
Kinderlehrer, D.
1971
An extended variational principle. Zbl 0852.49003
Jordan, Richard; Kinderlehrer, David
1996
Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053
Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell
1988
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
1992
An entropy based theory of the grain boundary character distribution. Zbl 1230.37098
Barmak, Katayun; Eggeling, Eva; Emelianenko, Maria; Epshteyn, Yekaterina; Kinderlehrer, David; Sharp, Richard; Ta’asan, Shlomo
2011
Estimates for the solution and its stability in Signorini’s problem. Zbl 0487.73126
Kinderlehrer, David
1982
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
1978
The boundary regularity of minimal surfaces. Zbl 0185.34603
Kinderlehrer, D.
1969
Relaxation in $$BV \times L^ \infty$$ of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
1993
Twinning of crystals. II. Zbl 0638.73007
Kinderlehrer, David
1987
Diffusion mediated transport in multiple state systems. Zbl 1157.34039
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
2007
Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
2008
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
2009
Contraction in $$L^{1}$$ for a system arising in chemical reactions and molecular motors. Zbl 1171.35408
Chipot, Michel; Hilhorst, Danielle; Kinderlehrer, David; Olech, Michał
2009
Metastability and incompletely posed problems. (Proceedings of a workshop held during the IMA 1984-85 program on continuum physics and partial differential equations, University of Minnesota, Minneapolis). Zbl 0604.00008
1987
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
2002
Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005
Kinderlehrer, David; Pedregal, Pablo
1991
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
1978
The reflaxation of functionals with surface energies. Zbl 0696.49007
Kinderlehrer, David; Vergara-Caffarelli, Giorgio
1989
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003
1999
Frustration and microstructure: An example in magnetostriction. Zbl 0797.49037
James, R. D.; Kinderlehrer, D.
1993
A free boundary value problem in potential theory. Zbl 0303.31003
Kinderlehrer, David; Stampacchia, Guido
1975
A class of parabolic quasi-variational inequalities. Zbl 0323.35042
Friedman, Avner; Kinderlehrer, David
1976
Mathematics and materials. Lectures presented at the IAS/Park City Mathematics Institute (PCMI) Graduate Summer School, Park City, UT, USA, July 2014. Zbl 1375.82010
2017
The smoothness of free boundaries governed by elliptic equations and systems. Zbl 0485.35084
Kinderlehrer, D.
1980
Towards a gradient flow for microstructure. Zbl 1380.37137
Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta’asan, Shlomo
2017
Variational principles with linear growth. Zbl 0706.49001
Hardt, Robert; Kinderlehrer, David
1989
The partially supported elastic beam. Zbl 0514.73042
Gastaldi, Fabio; Kinderlehrer, David
1983
Phase transitions in crystals: Towards the analysis of microstructure. Zbl 0731.73074
Kinderlehrer, D.
1990
Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031
Kinderlehrer, David; Pedregal, P.
1994
The hysteretic event in the computation of magnetization. Zbl 0873.65114
Kinderlehrer, David; Ma, Ling
1997
Transport via mass transportation. Zbl 1100.35028
Kinderlehrer, David; Tudorascu, Adrian
2006
A new perspective on texture evolution. Zbl 1159.82317
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta’asan, S.
2008
How a minimal surface leaves an obstacle. Zbl 0262.53003
Kinderlehrer, David
1972
The regularity of the solution to a certain variational inequality. Zbl 0273.35027
Kinderlehrer, David
1973
Elliptic variational inequalities. Zbl 0356.35023
Kinderlehrer, David
1975
Some regularity results in plasticity. Zbl 0591.73047
Hardt, Robert M.; Kinderlehrer, David
1986
Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031
Kinderlehrer, David
1986
Existence et régularité des configurations statiques des cristaux liquides. (Existence and smoothness of static liquid crystal configurations). Zbl 0614.35072
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
1985
Homogenization and effective moduli of materials and media. (Proceedings of a Workshop which was an integral part of the 1984-85 IMA program on Continuum Physics and Partial Differential Equations, University of Minnesota, Minneapolis). Zbl 0622.00024
1986
A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035
Kinderlehrer, David
1986
The hysteretic event in the computation of magnetism and magnetostriction. Zbl 0939.35182
Kinderlehrer, D.; Ma, L.
1998
Remarks about Signorini’s problem. Zbl 0494.35039
Kinderlehrer, David
1982
Magnetoelastic interactions. Zbl 0864.73057
Kinderlehrer, David
1996
Magnetoelastic interactions. Zbl 0894.73131
James, R.; Kinderlehrer, David
1996
Remarks on a multiscale approach to grain growth in polycrystals. Zbl 1105.74006
Barmak, Katayun; Kinderlehrer, David; Livshits, Irine; Ta’asan, Shlomo
2006
Remarks about diffusion mediated transport: thinking about motion in small systems. Zbl 1099.35005
Hastings, S.; Kinderlehrer, D.
2005
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations. Zbl 1372.35167
Kinderlehrer, David; Monsaingeon, Léonard; Xu, Xiang
2017
Mathematics and materials. Lectures presented at the IAS/Park City Mathematics Institute (PCMI) Graduate Summer School, Park City, UT, USA, July 2014. Zbl 1375.82010
2017
Towards a gradient flow for microstructure. Zbl 1380.37137
Bardsley, Patrick; Barmak, Katayun; Eggeling, Eva; Epshteyn, Yekaterina; Kinderlehrer, David; Ta&rsquo;asan, Shlomo
2017
A hybrid variational principle for the Keller-Segel system in $$\mathbb{R}^{2}$$. Zbl 1334.35086
Blanchet, Adrien; Carrillo, José Antonio; Kinderlehrer, David; Kowalczyk, Michał; Laurençot, Philippe; Lisini, Stefano
2015
Numerical analysis of the vertex models for simulating grain boundary networks. Zbl 1344.37083
Torres, C. E.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta&rsquo;asan, S.
2015
An entropy based theory of the grain boundary character distribution. Zbl 1230.37098
Barmak, Katayun; Eggeling, Eva; Emelianenko, Maria; Epshteyn, Yekaterina; Kinderlehrer, David; Sharp, Richard; Ta&rsquo;asan, Shlomo
2011
The Janossy effect and hybrid variational principles. Zbl 1154.35369
Kinderlehrer, David; Kowalczyk, Michał
2009
Contraction in $$L^{1}$$ for a system arising in chemical reactions and molecular motors. Zbl 1171.35408
Chipot, Michel; Hilhorst, Danielle; Kinderlehrer, David; Olech, Michał
2009
Geometric growth and character development in large metastable networks. Zbl 1180.37120
Barmak, K; Eggeling, E.; Emelianenko, M.; Epshteyn, Y.; Kinderlehrer, D.; Ta&rsquo;asan, S.
2009
Towards a statistical theory of texture evolution in polycrystals. Zbl 1186.37095
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta&rsquo;asan, S.
2008
Diffusion mediated transport with a look at motor proteins. Zbl 1351.35069
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
2008
A new perspective on texture evolution. Zbl 1159.82317
Barmak, K.; Emelianenko, M.; Golovaty, D.; Kinderlehrer, D.; Ta&rsquo;asan, S.
2008
Diffusion mediated transport in multiple state systems. Zbl 1157.34039
Hastings, Stuart; Kinderlehrer, David; McLeod, J. Bryce
2007
A variational approach to modeling and simulation of grain growth. Zbl 1126.82044
Kinderlehrer, David; Livshits, Irene; Ta&rsquo;asan, Shlomo
2006
Transport via mass transportation. Zbl 1100.35028
Kinderlehrer, David; Tudorascu, Adrian
2006
Remarks on a multiscale approach to grain growth in polycrystals. Zbl 1105.74006
Barmak, Katayun; Kinderlehrer, David; Livshits, Irine; Ta&rsquo;asan, Shlomo
2006
Remarks about diffusion mediated transport: thinking about motion in small systems. Zbl 1099.35005
Hastings, S.; Kinderlehrer, D.
2005
Remarks about the flashing rachet. Zbl 1064.35065
Dolbeault, Jean; Kinderlehrer, David; Kowalczyk, Michał
2004
Transport in a molecular motor system. Zbl 1077.35060
Chipot, Michel; Hastings, Stuart; Kinderlehrer, David
2004
A variational principle for molecular motors. Zbl 1032.92005
Chipot, Michel; Kinderlehrer, David; Kowalczyk, Michal
2003
Diffusion-mediated transport and the flashing ratchet. Zbl 1065.76183
Kinderlehrer, David; Kowalczyk, Michał
2002
Discrete and continuous ratchets: From coin toss to molecular motor. Zbl 1009.35037
Heath, David; Kinderlehrer, David; Kowalczyk, Michał
2002
Evolution of grain boundaries. Zbl 1036.74041
Kinderlehrer, David; Liu, Chun
2001
An introduction to variational inequalities and their applications. Reprint of the 1980 original. Zbl 0988.49003
Kinderlehrer, David; Stampacchia, Guido
2000
Some regularity results in ferromagnetism. Zbl 0958.35136
Hardt, Robert; Kinderlehrer, David
2000
Approximation of parabolic equations using the Wasserstein metric. Zbl 0936.65121
Kinderlehrer, David; Walkington, Noel J.
1999
Fundamental contributions to the continuum theory of evolving phase interfaces in solids. A collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday. Zbl 0968.74003
1999
The variational formulation of the Fokker-Planck equation. Zbl 0915.35120
Jordan, Richard; Kinderlehrer, David; Otto, Felix
1998
The hysteretic event in the computation of magnetism and magnetostriction. Zbl 0939.35182
Kinderlehrer, D.; Ma, L.
1998
Free energy and the Fokker-Planck equation. Zbl 1029.82507
Jordan, Richard; Kinderlehrer, David; Otto, Felix
1997
The hysteretic event in the computation of magnetization. Zbl 0873.65114
Kinderlehrer, David; Ma, Ling
1997
An extended variational principle. Zbl 0852.49003
Jordan, Richard; Kinderlehrer, David
1996
Magnetoelastic interactions. Zbl 0864.73057
Kinderlehrer, David
1996
Magnetoelastic interactions. Zbl 0894.73131
James, R.; Kinderlehrer, David
1996
Numerical analysis of oscillations in multiple well problems. Zbl 0824.65045
Chipot, M.; Collins, C.; Kinderlehrer, D.
1995
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
1994
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
1994
Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031
Kinderlehrer, David; Pedregal, P.
1994
The elementary defects of the Oseen-Frank energy for a liquid crystal. Zbl 0784.35085
Kinderlehrer, David; Ou, Biao; Walkington, Nöel
1993
Relaxation in $$BV \times L^ \infty$$ of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
1993
Frustration and microstructure: An example in magnetostriction. Zbl 0797.49037
James, R. D.; Kinderlehrer, D.
1993
Weak convergence of integrands and the Young measure representation. Zbl 0757.49014
Kinderlehrer, David; Pedregal, Pablo
1992
Second variation of liquid crystal energy at $$x/ |{}x|{}$$. Zbl 0761.49012
Kinderlehrer, David; Ou, Biao
1992
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
1992
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
1991
Numerical approximation of the solution of a variational problem with a double well potential. Zbl 0725.65067
Collins, Charles; Kinderlehrer, David; Luskin, Mitchell
1991
Recent developments in liquid crystal theory. Zbl 0729.76009
Kinderlehrer, D.
1991
Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005
Kinderlehrer, David; Pedregal, Pablo
1991
The variety of configurations of static liquid crystals. Zbl 0723.58018
Hardt, Robert; Kinderlehrer, David; Lin, Fang Hau
1990
Phase transitions in crystals: Towards the analysis of microstructure. Zbl 0731.73074
Kinderlehrer, D.
1990
Theory of diffusionless phase transitions. Zbl 0991.74504
James, Richard; Kinderlehrer, David
1989
The reflaxation of functionals with surface energies. Zbl 0696.49007
Kinderlehrer, David; Vergara-Caffarelli, Giorgio
1989
Variational principles with linear growth. Zbl 0706.49001
Hardt, Robert; Kinderlehrer, David
1989
Equilibrium configurations of crystals. Zbl 0673.73012
Chipot, Michel; Kinderlehrer, David
1988
Stable defects of minimizers of constrained variational principles. Zbl 0657.49018
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua
1988
Remarks about equilibrium configurations of crystals. Zbl 0850.73037
Kinderlehrer, David
1988
Mathematical questions of liquid crystal theory. Zbl 0704.76005
Hardt, R.; Kinderlehrer, D.
1988
Remarks about the mathematical theory of liquid crystals. Zbl 0696.49053
Hardt, Robert; Kinderlehrer, David; Luskin, Mitchell
1988
Theory and applications of liquid crystals. Zbl 0713.76006
1987
Twinning of crystals. II. Zbl 0638.73007
Kinderlehrer, David
1987
Metastability and incompletely posed problems. (Proceedings of a workshop held during the IMA 1984-85 program on continuum physics and partial differential equations, University of Minnesota, Minneapolis). Zbl 0604.00008
1987
Existence and partial regularity of static liquid crystal configurations. Zbl 0611.35077
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
1986
Smoothness of linear laminates. Zbl 0617.73062
Chipot, Michel; Kinderlehrer, David; Caffarelli, Giorgio Vergara
1986
Some regularity results in plasticity. Zbl 0591.73047
Hardt, Robert M.; Kinderlehrer, David
1986
Remarks about St. Venant solutions in finite elasticity. Zbl 0605.73031
Kinderlehrer, David
1986
Homogenization and effective moduli of materials and media. (Proceedings of a Workshop which was an integral part of the 1984-85 IMA program on Continuum Physics and Partial Differential Equations, University of Minnesota, Minneapolis). Zbl 0622.00024
1986
A relation between semi-inverse and Saint-Venant solutions for prisms. Zbl 0628.35035
Kinderlehrer, David
1986
Existence et régularité des configurations statiques des cristaux liquides. (Existence and smoothness of static liquid crystal configurations). Zbl 0614.35072
Hardt, Robert; Kinderlehrer, David; Lin, Fang-Hua
1985
Elastic plastic deformation. Zbl 0522.73029
Hardt, Robert; Kinderlehrer, David
1983
An introduction to variational inequalities and their applications. (Vvedenie v variatsionnye neravenstva i ikh prilozheniya). Transl. from the English. Zbl 0551.35003
Kinderlehrer, David; Stampacchia, Guido
1983
The partially supported elastic beam. Zbl 0514.73042
Gastaldi, Fabio; Kinderlehrer, David
1983
Estimates for the solution and its stability in Signorini’s problem. Zbl 0487.73126
Kinderlehrer, David
1982
Remarks about Signorini’s problem. Zbl 0494.35039
Kinderlehrer, David
1982
Remarks about Signorini’s problem in linear elasticity. Zbl 0482.73017
Kinderlehrer, David
1981
The smoothness of the solution of the boundary obstacle problem. Zbl 0459.35092
Kinderlehrer, David
1981
An introduction to variational inequalities and their applications. Zbl 0457.35001
Kinderlehrer, David; Stampacchia, Guido
1980
Potential methods in variational inequalities. Zbl 0455.49010
Caffarelli, L. A.; Kinderlehrer, D.
1980
The smoothness of free boundaries governed by elliptic equations and systems. Zbl 0485.35084
Kinderlehrer, D.
1980
Regularity in elliptic free boundary problems. II: Equations of higher order. Zbl 0425.35097
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
1979
Regularity in elliptic free boundary problems. I. Zbl 0402.35045
Kinderlehrer, D.; Nirenberg, Louis; Spruck, J.
1978
Sur une nouvelle formulation du problème de l’ecoulement à travers une digue. Zbl 0391.76072
Brézis, Haïm; Kinderlehrer, David; Stampacchia, Guido
1978
The smoothness of the free boundary in the one phase Stefan problem. Zbl 0391.35060
Kinderlehrer, David; Nirenberg, Louis
1978
Analyticity at the boundary of solutions of nonlinear second-order parabolic equations. Zbl 0391.35045
Kinderlehrer, David; Nirenberg, Louis
1978
Variational inequalities and free boundary problems. Zbl 0382.35004
Kinderlehrer, David
1978
The shape and smoothness of stable plasma configurations. Zbl 0409.76095
Kinderlehrer, David; Spruck, Joel
1978
Régularité dans les problèmes elliptiques à frontière libre. Zbl 0386.35045
Kinderlehrer, David; Nirenberg, Louis; Spruck, Joel
1978
Hodograph methods and the smoothness of the free boundary in the one phase Stefan problem. Zbl 0456.35090
Kinderlehrer, David; Nirenberg, Louis
1978
Regularity in free boundary problems. Zbl 0352.35023
Kinderlehrer, D.; Nirenberg, Louis
1977
The free boundary determined by the solution to a differential equation. Zbl 0336.35031
Kinderlehrer, David
1976
A class of parabolic quasi-variational inequalities. Zbl 0323.35042
Friedman, Avner; Kinderlehrer, David
1976
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
1975
A free boundary value problem in potential theory. Zbl 0303.31003
Kinderlehrer, David; Stampacchia, Guido
1975
Elliptic variational inequalities. Zbl 0356.35023
Kinderlehrer, David
1975
The smoothness of solutions to nonlinear variational inequalities. Zbl 0278.49011
Brézis, Haïm; Kinderlehrer, David
1974
How a minimal surface leaves an obstacle. Zbl 0268.49050
Kinderlehrer, David
1973
The regularity of the solution to a certain variational inequality. Zbl 0273.35027
Kinderlehrer, David
1973
How a minimal surface leaves an obstacle. Zbl 0262.53003
Kinderlehrer, David
1972
The coincidence set of solutions of certain variational inequalities. Zbl 0219.49014
Kinderlehrer, D.
1971
Variational inequalities with lower dimensional obstacles. Zbl 0263.49008
Kinderlehrer, David
1971
The regularity of minimal surfaces defined over slit domains. Zbl 0214.10503
Kinderlehrer, D.
1971
...and 2 more Documents
all top 5

### Cited by 3,438 Authors

 81 Noor, Muhammad Aslam 51 Yao, Jen-Chih 36 Nagurney, Anna 32 Carrillo de la Plata, José Antonio 29 Chipot, Michel 29 Shehu, Yekini 28 Dang Van Hieu 27 Kinderlehrer, David 26 Sofonea, Mircea 25 Ceng, Lu-Chuan 25 Noor, Khalida Inayat 24 Caffarelli, Luis Ángel 21 Savaré, Giuseppe 20 Ansari, Qamrul Hasan 20 Dương Việt Thông 19 Mielke, Alexander 18 Friedman, Avner 17 Brenner, Susanne Cecelia 17 Byun, Sun-Sig 17 Le, Vy Khoi 17 Pedregal, Pablo 17 Shahgholian, Henrik 16 Han, Weimin 16 Hintermüller, Michael 15 Matthes, Daniel 15 Migórski, Stanisław 14 Bnouhachem, Abdellah 14 Cho, Yeol Je 14 Peletier, Mark Adriaan 14 Verma, Ram U. 14 Vuong, Phan Tu 14 Wen, Chingfeng 13 Cojocaru, Monica-Gabriela 13 Fonseca, Irene 13 Gwinner, Joachim 13 Kružík, Martin 13 Vázquez Cendón, Carlos 13 Zhang, Kewei 12 Ambrosio, Luigi 12 Carlier, Guillaume 12 Gibali, Aviv 12 Iiduka, Hideaki 12 Lin, Fang Hua 12 Ortiz, Michael 12 Santambrogio, Filippo 12 Serfaty, Sylvia 12 Nguyen Dong Yen 11 Al-Said, Eisa A. 11 Dolzmann, Georg 11 Gudi, Thirupathi 11 Huang, Nan-Jing 11 Iyiola, Olaniyi Samuel 11 Otárola, Enrique 10 Bayada, Guy 10 Daniele, Patrizia 10 Dong, June 10 Dong, Qiaoli 10 Hardt, Robert M. 10 Li, Wuchen 10 Liu, Chun 10 Maas, Jan 10 Pastukhova, Svetlana Evgenievna 10 Rodrigues, José Francisco 10 Zinsl, Jonathan 9 Brézis, Haïm 9 Cancès, Clément 9 Carstensen, Carsten 9 De Silva, Daniela 9 Diaz Diaz, Jesus Ildefonso 9 Erbar, Matthias 9 Frehse, Jens 9 Fuchs, Martin 9 Kim, Inwon Christina 9 Kumam, Poom 9 Porwal, Kamana 9 Raciti, Fabio 9 Sychev, Mikhail A. 9 Yao, Yonghong 9 Zhikov, Vasiliĭ Vasil’evich 8 Agueh, Martial 8 Blanchet, Adrien 8 Canevari, Giacomo 8 Conti, Sergio 8 Ding, Xie Ping 8 Gallouët, Thomas O. 8 Kristensen, Jan 8 Liou, Yeongcheng 8 Luskin, Mitchell 8 Monsaingeon, Léonard 8 Muu, Le Dung 8 Nochetto, Ricardo Horacio 8 Pham Ky Anh 8 Roubíček, Tomáš 8 Sturm, Karl-Theodor 8 Temam, Roger Meyer 8 Wang, Changyou 8 Wong, Ngai-Ching 8 Yan, Baisheng 7 Bhattacharya, Kaushik 7 Carrillo Menéndez, José ...and 3,338 more Authors
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### Cited in 427 Serials

 124 Archive for Rational Mechanics and Analysis 118 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 111 Journal of Optimization Theory and Applications 108 Calculus of Variations and Partial Differential Equations 104 Journal of Mathematical Analysis and Applications 79 Journal of Differential Equations 52 SIAM Journal on Mathematical Analysis 51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 50 Journal of Computational and Applied Mathematics 49 Computers & Mathematics with Applications 49 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 49 Communications in Partial Differential Equations 46 Nonlinear Analysis. Theory, Methods & Applications 45 Applied Mathematics and Optimization 41 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 41 Applied Mathematics and Computation 39 Numerische Mathematik 38 Optimization 35 Journal of Functional Analysis 34 Numerical Functional Analysis and Optimization 33 Computer Methods in Applied Mechanics and Engineering 31 Applied Mathematics Letters 31 Journal of Global Optimization 30 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Journal of Inequalities and Applications 29 Transactions of the American Mathematical Society 27 Discrete and Continuous Dynamical Systems 27 Fixed Point Theory and Applications 25 SIAM Journal on Control and Optimization 25 European Journal of Operational Research 24 Annali di Matematica Pura ed Applicata. Serie Quarta 23 Manuscripta Mathematica 23 Proceedings of the American Mathematical Society 23 Applied Numerical Mathematics 23 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 22 Journal of Mathematical Sciences (New York) 22 Optimization Letters 21 Applicable Analysis 21 Advances in Mathematics 21 Abstract and Applied Analysis 20 Mathematical Methods in the Applied Sciences 20 The Journal of Geometric Analysis 19 SIAM Journal on Numerical Analysis 19 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 19 Journal of Nonlinear Science 19 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Communications in Mathematical Physics 18 Journal of Computational Physics 18 Mathematics of Computation 18 Mathematical and Computer Modelling 18 Journal of Scientific Computing 17 Communications on Pure and Applied Mathematics 17 Mathematical Programming. Series A. Series B 16 Computational Optimization and Applications 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Inventiones Mathematicae 15 European Journal of Applied Mathematics 15 Numerical Algorithms 14 Journal of the Mechanics and Physics of Solids 14 Physica D 14 SIAM Journal on Applied Mathematics 13 RAIRO. Modélisation Mathématique et Analyse Numérique 13 Potential Analysis 13 Nonlinear Analysis. Real World Applications 12 Journal d’Analyse Mathématique 12 Mathematische Annalen 12 Zeitschrift für Analysis und ihre Anwendungen 12 Acta Applicandae Mathematicae 12 Annals of Operations Research 12 Set-Valued and Variational Analysis 11 Journal of Mathematical Physics 11 Mathematische Zeitschrift 11 Quarterly of Applied Mathematics 11 Chinese Annals of Mathematics. Series B 11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 10 Duke Mathematical Journal 10 Journal of Applied Mathematics 9 SIAM Journal on Scientific Computing 9 NoDEA. Nonlinear Differential Equations and Applications 9 Journal of Fixed Point Theory and Applications 9 Journal of Elliptic and Parabolic Equations 8 Operations Research Letters 8 Applications of Mathematics 8 Journal of Elasticity 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Computational and Applied Mathematics 8 Doklady Mathematics 8 Optimization and Engineering 8 Journal of Evolution Equations 8 Computational Methods in Applied Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Bulletin of the Australian Mathematical Society 7 Results in Mathematics 7 Siberian Mathematical Journal 7 International Journal of Computer Mathematics 7 Cybernetics and Systems Analysis 7 Continuum Mechanics and Thermodynamics 7 Filomat 7 Communications on Pure and Applied Analysis 7 Mediterranean Journal of Mathematics ...and 327 more Serials
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### Cited in 52 Fields

 1,538 Partial differential equations (35-XX) 1,421 Calculus of variations and optimal control; optimization (49-XX) 658 Numerical analysis (65-XX) 539 Operator theory (47-XX) 431 Operations research, mathematical programming (90-XX) 407 Mechanics of deformable solids (74-XX) 341 Fluid mechanics (76-XX) 183 Statistical mechanics, structure of matter (82-XX) 161 Global analysis, analysis on manifolds (58-XX) 154 Probability theory and stochastic processes (60-XX) 145 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 107 Functional analysis (46-XX) 106 Differential geometry (53-XX) 90 Biology and other natural sciences (92-XX) 65 Classical thermodynamics, heat transfer (80-XX) 63 Real functions (26-XX) 61 Systems theory; control (93-XX) 53 Computer science (68-XX) 49 Measure and integration (28-XX) 48 Ordinary differential equations (34-XX) 41 Dynamical systems and ergodic theory (37-XX) 40 Potential theory (31-XX) 27 Information and communication theory, circuits (94-XX) 26 Integral equations (45-XX) 25 Optics, electromagnetic theory (78-XX) 23 Functions of a complex variable (30-XX) 22 Statistics (62-XX) 20 General topology (54-XX) 18 Geophysics (86-XX) 16 Convex and discrete geometry (52-XX) 15 Approximations and expansions (41-XX) 13 Quantum theory (81-XX) 12 Mechanics of particles and systems (70-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Several complex variables and analytic spaces (32-XX) 7 General and overarching topics; collections (00-XX) 7 Difference and functional equations (39-XX) 6 Algebraic topology (55-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX)

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