Edit Profile (opens in new tab) Evans, Lawrence Craig Compute Distance To: Compute Author ID: evans.lawrence-craig Published as: Evans, L. C.; Evans, Lawrence C.; Evans, Lawrence Craig Homepage: https://math.berkeley.edu/~evans/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 119 Publications since 1975, including 7 Books 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 27 Co-Authors with 45 Joint Publications 966 Co-Co-Authors all top 5 Co-Authors 48 single-authored 10 Gariepy, Ronald F. 5 Crandall, Michael G. 5 Souganidis, Panagiotis E. 4 Ishii, Hitoshi 4 Lions, Pierre-Louis 4 Spruck, Joel 3 Friedman, Avner 3 Gomes, Diogo Luís Aguiar 2 Aronsson, Gunnar 2 Barron, Emmanuel Nicholas 2 Bénilan, Philippe 2 Caffarelli, Luis Ángel 2 Chipot, Michel 2 Gangbo, Wilfrid 2 Knerr, Barry F. 2 Savin, Ovidiu V. 2 Smart, Charles K. 1 Adalsteinsson, David 1 Alikakos, Nicholas D. 1 Baiocchi, Claudio 1 Ball, John MacLeod 1 Barles, Guy 1 Brézis, Haïm 1 Capuzzo Dolcetta, Italo 1 Chopp, David L. 1 De Pascale, Luigi 1 Dorfman, Jonathan 1 Douady, Adrien 1 Feldman, Mikhail 1 Frank, Leonid S. 1 Giarrusso, Ester 1 James, Matthew R. 1 Kneuss, Olivier 1 Lenhart, Suzanne M. 1 Lindenstrauss, Joram 1 Massey, Frank J. III 1 Menaldi, Jose-Luis 1 Müller, Stefan 1 Perthame, Benoît 1 Pierre, Michel 1 Pippenger, Nicholas J. 1 Portilheiro, Manuel 1 Pratelli, Aldo 1 Rezakhanlou, Fraydoun 1 Shalev, Aner 1 Soner, Halil Mete 1 Sougandis, P. E. 1 Tabrizian, Peyam R. 1 Tran Vinh Hung 1 Yu, Yifeng 1 Zhang, Te all top 5 Serials 11 Indiana University Mathematics Journal 10 Archive for Rational Mechanics and Analysis 7 Transactions of the American Mathematical Society 7 Calculus of Variations and Partial Differential Equations 6 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Communications on Pure and Applied Mathematics 3 Israel Journal of Mathematics 2 Communications in Mathematical Physics 2 Houston Journal of Mathematics 2 Applied Mathematics and Optimization 2 SIAM Journal on Control and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 The Journal of Geometric Analysis 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Graduate Studies in Mathematics 1 Journal of Mathematical Analysis and Applications 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Chinese Annals of Mathematics. Series B 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Séminaire Équations aux Dérivées Partielles 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Evolution Equations 1 Forum Geometricorum 1 Regional Conference Series in Mathematics 1 Textbooks in Mathematics all top 5 Fields 99 Partial differential equations (35-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 16 Operator theory (47-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 7 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 5 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 113 Publications have been cited 8,929 times in 5,986 Documents Cited by ▼ Year ▼ Measure theory and fine properties of functions. Zbl 0804.28001Evans, Lawrence C.; Gariepy, Ronald F. 1,682 1992 Partial differential equations. Zbl 0902.35002Evans, Lawrence C. 1,383 1998 Partial differential equations. 2nd ed. Zbl 1194.35001Evans, Lawrence C. 892 2010 Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis 376 1984 Motion of level sets by mean curvature. I. Zbl 0726.53029Evans, L. C.; Spruck, J. 344 1991 Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001Evans, Lawrence Craig; Gariepy, Ronald F. 247 2015 Blowup, compactness and partial regularity in the calculus of variations. Zbl 0626.49007Evans, L. C.; Gariepy, R. F. 219 1987 Phase transitions and generalized motion by mean curvature. Zbl 0801.35045Evans, L. C.; Soner, H. M.; Souganidis, P. E. 217 1992 Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022Evans, Lawrence C. 194 1982 Differential equations methods for the Monge-Kantorovich mass transfer problem. Zbl 0920.49004Evans, L. C.; Gangbo, W. 175 1999 Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317Evans, L. C.; Souganidis, P. E. 162 1984 Partial regularity for stationary harmonic maps into spheres. Zbl 0754.58007Evans, Lawrence C. 125 1991 The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001Evans, Lawrence C. 118 1989 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 115 2001 A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E. Zbl 0508.35036Evans, Lawrence C. 109 1982 Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011Evans, Lawrence C. 108 1992 Quasiconvexity and partial regularity in the calculus of variations. Zbl 0627.49006Evans, Lawrence C. 107 1986 Weak convergence methods for nonlinear partial differential equations. Expository lectures from the CBMS regional conference held at Loyola University of Chicago, June 27-July 1, 1988. Zbl 0698.35004Evans, Lawrence C. 88 1990 Motion of level sets by mean curvature. II. Zbl 0776.53005Evans, L. C.; Spruck, J. 83 1992 Partial differential equations and Monge-Kantorovich mass transfer. Zbl 0954.35011Evans, Lawrence C. 80 1999 Nonlinear evolution equations in an arbitrary Banach space. Zbl 0349.34043Evans, L. C. 80 1977 On Hopf’s formulas for solutions of Hamilton-Jacobi equations. Zbl 0569.35011Bardi, M.; Evans, L. C. 70 1984 A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014Evans, L. C.; Souganidis, P. E. 69 1989 Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029Chipot, Michel; Evans, Lawrence C. 64 1986 Motion of level sets by mean curvature. III. Zbl 0768.53003Evans, L. C.; Spruck, J. 63 1992 Continuity of the temperature in the two-phase Stefan problem. Zbl 0516.35080Caffarelli, L. A.; Evans, L. C. 63 1983 Wiener’s criterion for the heat equation. Zbl 0508.35038Evans, Lawrence C.; Gariepy, Ronald F. 58 1982 Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046Evans, Lawrence C.; Friedman, Avner 57 1979 The infinity Laplacian, Aronsson’s equation and their generalizations. Zbl 1125.35019Barron, E. N.; Evans, L. C.; Jensen, R. 56 2008 Optimal switching for ordinary differential equations. Zbl 0641.49017Capuzzo Dolcetta, I.; Evans, L. C. 54 1984 Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034Evans, Lawrence C.; Smart, Charles K. 52 2011 \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096Evans, Lawrence C.; Savin, Ovidiu 51 2008 Convergence of an algorithm for mean curvature motion. Zbl 0802.65098Evans, Lawrence C. 50 1993 Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015Barles, G.; Evans, L. C.; Sougandis, P. E. 46 1990 Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056Evans, L. C.; Gomes, D. 46 2001 An introduction to stochastic differential equations. Zbl 1416.60002Evans, Lawrence C. 46 2013 On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators. Zbl 0351.34037Crandall, Michael G.; Evans, L. C. 46 1975 Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities. Zbl 0403.35052Evans, Lawrence C.; Knerr, Barry F. 44 1979 Fast/slow diffusion and growing sandpiles. Zbl 0864.35057Aronsson, G.; Evans, L. C.; Wu, Y. 43 1996 A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities. Zbl 0601.60076Evans, L. C.; Ishii, H. 40 1985 Viscosity solutions of Isaacs’ equations and differential games with Lipschitz controls. Zbl 0548.90104Barron, E. N.; Evans, L. C.; Jensen, R. 40 1984 Adjoint and compensated compactness methods for Hamilton-Jacobi PDE. Zbl 1273.70030Evans, Lawrence C. 39 2010 On solving certain nonlinear partial differential equations by accretive operator methods. Zbl 0454.35038Evans, Lawrence C. 36 1980 Some new PDE methods for weak KAM theory. Zbl 1032.37048Evans, Lawrence C. 35 2003 A second order elliptic equation with gradient constraint. Zbl 0448.35036Evans, Lawrence C. 34 1979 Motion of level sets by mean curvature. IV. Zbl 0829.53040Evans, Lawrence C.; Spruck, Joel 32 1995 Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120Evans, L. C.; Müller, S. 32 1994 A convergence theorem for solutions of nonlinear second order elliptic equations. Zbl 0408.35037Evans, Lawrence C. 28 1978 On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024Evans, L. C.; Gariepy, R. F. 27 1999 Application of nonlinear semigroup theory to certain partial differential equations. Zbl 0471.35039Evans, Lawrence C. 27 1978 Irreversibility and hysteresis for a forward-backward diffusion equation. Zbl 1064.35091Evans, L. C.; Portilheiro, M. 26 2004 Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019Evans, L. C.; Feldman, M.; Gariepy, R. F. 26 1997 Various properties of solutions of the infinity-Laplacian equation. Zbl 1123.35018Evans, Lawrence C.; Yu, Yifeng 25 2005 A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators. Zbl 0447.49022Brézis, Haïm; Evans, L. C. 25 1979 Regularity properties for the heat equation subject to nonlinear boundary constraints. Zbl 0369.35034Evans, Lawrence C. 25 1977 A survey of entropy methods for partial differential equations. Zbl 1053.35004Evans, Lawrence C. 24 2004 Integral estimates for transport densities. Zbl 1068.35170De Pascale, L.; Evans, L. C.; Pratelli, A. 24 2004 Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061Evans, L. C.; Savin, O.; Gangbo, W. 24 2005 Continuity of the gradient for weak solutions of a degenerate parabolic equation. Zbl 0529.35039Alikakos, Nicholas D.; Evans, Lawrence C. 24 1983 The 1-Laplacian, the \(\infty\)-Laplacian and differential games. Zbl 1200.35114Evans, Lawrence C. 23 2007 Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011Evans, L. C.; Gariepy, R. F. 22 1987 A remark on infinity harmonic functions. Zbl 0964.35061Crandall, Michael G.; Evans, L. C. 21 2001 The Hamiltonian-Jacobi-Bellman equation for time-optimal control. Zbl 0688.49029Evans, L. C.; James, M. R. 21 1989 Some min-max methods for the Hamilton-Jacobi equation. Zbl 0543.35012Evans, Lawrence C. 19 1984 Further PDE methods for weak KAM theory. Zbl 1179.35102Evans, Lawrence C. 18 2009 A free boundary problem: The flow of two immiscible fluids in a one- dimensional porous medium. I. Zbl 0411.76066Evans, Lawrence C. 16 1977 Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039Evans, L. C.; Gomes, D. 16 2002 Towards a quantum analog of weak KAM theory. Zbl 1073.81037Evans, Lawrence C. 16 2004 A survey of partial differential equations methods in weak KAM theory. Zbl 1040.37046Evans, Lawrence C. 16 2004 Weak KAM theory and partial differential equations. Zbl 1138.49024Evans, Lawrence C. 16 2008 A convergence theorem for a chemical diffusion-reaction system. Zbl 0452.35005Evans, Lawrence C. 14 1980 Adjoint methods for the infinity Laplacian partial differential equation. Zbl 1257.35089Evans, Lawrence C.; Smart, Charles K. 14 2011 A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040Evans, L. C.; Souganidis, P. E. 14 1989 Differential games and nonlinear first order PDE on bounded domains. Zbl 0559.35013Evans, L. C.; Ishii, H. 14 1984 A free boundary problem: The flow of two immiscible fluids in a one- dimensional porous medium. II. Zbl 0411.76067Evans, Lawrence C. 11 1978 Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143Evans, L. C.; Gomes, D. 11 2002 Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044Perthame, Benoît; Souganidis, P. E. 11 2003 Differentiability of a nonlinear semigroup in \(L^1\). Zbl 0363.47032Evans, Lawrence C. 11 1977 An asymptotic model for compression molding. Zbl 1082.76033Aronsson, G.; Evans, L. C. 10 2002 Résolution des équations de Hamilton-Jacobi-Bellman pour des opérateurs uniformement elliptiques. Zbl 0461.49017Evans, Lawrence C.; Lions, Pierre-Louis 9 1980 Envelopes and nonconvex Hamilton-Jacobi equations. Zbl 1302.49038Evans, Lawrence C. 9 2014 Estimates for smooth absolutely minimizing Lipschitz extensions. Zbl 0809.35032Evans, Lawrence C. 8 1993 A stochastic model for growing sandpiles and its continuum limit. Zbl 0924.60099Evans, Lawrence C.; Rezakhanlou, Fraydoun 7 1998 Fully nonlinear second order elliptic equations with large zeroth order coefficient. Zbl 0441.35023Evans, Lawrence C.; Lions, Pierre-Louis 7 1981 The parabolic Bellman equation. Zbl 0467.35059Evans, Lawrence C.; Lenhart, Suzanne 7 1981 A singular semilinear equation in \(L^1(R)\). Zbl 0349.34018Crandall, Michael G.; Evans, Lawrence C. 7 1977 A chemical diffusion-reaction free boundary problem. Zbl 0511.35082Evans, Lawrence C. 7 1982 Regularity and asymptotic behavior of two immiscible fluids in a one- dimensional porous medium. Zbl 0419.35080Evans, Lawrence C.; Friedman, Avner 6 1979 Regularity for fully nonlinear elliptic equations and motion by mean curvature. Zbl 0905.35021Evans, Lawrence C. 6 1997 Asymptotics for scaled Kramers-Smoluchowski equations. Zbl 1362.35154Evans, Lawrence C.; Tabrizian, Peyam R. 6 2016 Monotonicity formulae for variational problems. Zbl 1292.35122Evans, Lawrence C. 6 2013 Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models. Zbl 1337.49067Evans, Lawrence C.; Kneuss, Olivier; Tran, Hung 6 2016 A geometric interpretation of the heat equation with multivalued initial data. Zbl 0862.35043Evans, Lawrence C. 5 1996 Some estimates for nondivergence structure, second order elliptic equations. Zbl 0565.35031Evans, Lawrence C. 5 1985 Waiting time effects for Gauss curvature flows. Zbl 0995.53050Chopp, D.; Evans, L. C.; Ishii, H. 3 1999 On some singular limits of homogeneous semigroups. Zbl 1035.35026Bénilan, P.; Evans, L. C.; Gariepy, R. F. 3 2003 Effective Hamiltonians and quantum states. Zbl 1055.81524Evans, Lawrence C. 3 2001 Uniqueness for two immiscible fluids in a one-dimensional porous medium. Zbl 0454.76081Baiocchi, Claudio; Evans, Lawrence C.; Frank, Leonid; Friedman, Avner 3 1980 Gradient bounds for solutions of degenerate variational inequalities. Zbl 0477.49009Evans, Lawrence C.; Menaldi, Jose-Luis 3 1981 An elementary, direct proof of partial regularity for solutions of certain nonlinear elliptic systems. Zbl 0588.35042Evans, L. C.; Giarrusso, E. 3 1985 New identities for weak KAM theory. Zbl 1381.37072Evans, Lawrence Craig 1 2017 Asymptotics for scaled Kramers-Smoluchowski equations. Zbl 1362.35154Evans, Lawrence C.; Tabrizian, Peyam R. 6 2016 Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models. Zbl 1337.49067Evans, Lawrence C.; Kneuss, Olivier; Tran, Hung 6 2016 Weak convergence and averaging for ODE. Zbl 1344.34051Evans, Lawrence C.; Zhang, Te 1 2016 Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001Evans, Lawrence Craig; Gariepy, Ronald F. 247 2015 Envelopes and nonconvex Hamilton-Jacobi equations. Zbl 1302.49038Evans, Lawrence C. 9 2014 An introduction to stochastic differential equations. Zbl 1416.60002Evans, Lawrence C. 46 2013 Monotonicity formulae for variational problems. Zbl 1292.35122Evans, Lawrence C. 6 2013 Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034Evans, Lawrence C.; Smart, Charles K. 52 2011 Adjoint methods for the infinity Laplacian partial differential equation. Zbl 1257.35089Evans, Lawrence C.; Smart, Charles K. 14 2011 Partial differential equations. 2nd ed. Zbl 1194.35001Evans, Lawrence C. 892 2010 Adjoint and compensated compactness methods for Hamilton-Jacobi PDE. Zbl 1273.70030Evans, Lawrence C. 39 2010 Further PDE methods for weak KAM theory. Zbl 1179.35102Evans, Lawrence C. 18 2009 A “Lakes and rivers” heuristic metaphor for the singular limit of a nonlinear diffusion PDE. Zbl 1213.35049Dorfman, Jonathan; Evans, Lawrence C. 1 2009 The infinity Laplacian, Aronsson’s equation and their generalizations. Zbl 1125.35019Barron, E. N.; Evans, L. C.; Jensen, R. 56 2008 \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096Evans, Lawrence C.; Savin, Ovidiu 51 2008 Weak KAM theory and partial differential equations. Zbl 1138.49024Evans, Lawrence C. 16 2008 The 1-Laplacian, the \(\infty\)-Laplacian and differential games. Zbl 1200.35114Evans, Lawrence C. 23 2007 Various properties of solutions of the infinity-Laplacian equation. Zbl 1123.35018Evans, Lawrence C.; Yu, Yifeng 25 2005 Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061Evans, L. C.; Savin, O.; Gangbo, W. 24 2005 Irreversibility and hysteresis for a forward-backward diffusion equation. Zbl 1064.35091Evans, L. C.; Portilheiro, M. 26 2004 A survey of entropy methods for partial differential equations. Zbl 1053.35004Evans, Lawrence C. 24 2004 Integral estimates for transport densities. Zbl 1068.35170De Pascale, L.; Evans, L. C.; Pratelli, A. 24 2004 Towards a quantum analog of weak KAM theory. Zbl 1073.81037Evans, Lawrence C. 16 2004 A survey of partial differential equations methods in weak KAM theory. Zbl 1040.37046Evans, Lawrence C. 16 2004 Some new PDE methods for weak KAM theory. Zbl 1032.37048Evans, Lawrence C. 35 2003 Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws. Zbl 1059.35044Perthame, Benoît; Souganidis, P. E. 11 2003 On some singular limits of homogeneous semigroups. Zbl 1035.35026Bénilan, P.; Evans, L. C.; Gariepy, R. F. 3 2003 Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039Evans, L. C.; Gomes, D. 16 2002 Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143Evans, L. C.; Gomes, D. 11 2002 An asymptotic model for compression molding. Zbl 1082.76033Aronsson, G.; Evans, L. C. 10 2002 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 115 2001 Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056Evans, L. C.; Gomes, D. 46 2001 A remark on infinity harmonic functions. Zbl 0964.35061Crandall, Michael G.; Evans, L. C. 21 2001 Effective Hamiltonians and quantum states. Zbl 1055.81524Evans, Lawrence C. 3 2001 Differential equations methods for the Monge-Kantorovich mass transfer problem. Zbl 0920.49004Evans, L. C.; Gangbo, W. 175 1999 Partial differential equations and Monge-Kantorovich mass transfer. Zbl 0954.35011Evans, Lawrence C. 80 1999 On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024Evans, L. C.; Gariepy, R. F. 27 1999 Waiting time effects for Gauss curvature flows. Zbl 0995.53050Chopp, D.; Evans, L. C.; Ishii, H. 3 1999 Partial differential equations. Zbl 0902.35002Evans, Lawrence C. 1,383 1998 A stochastic model for growing sandpiles and its continuum limit. Zbl 0924.60099Evans, Lawrence C.; Rezakhanlou, Fraydoun 7 1998 Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019Evans, L. C.; Feldman, M.; Gariepy, R. F. 26 1997 Regularity for fully nonlinear elliptic equations and motion by mean curvature. Zbl 0905.35021Evans, Lawrence C. 6 1997 The level set method for etching and deposition. Zbl 0924.35029Adalsteinsson, D.; Evans, L. C.; Ishii, H. 1 1997 Fast/slow diffusion and growing sandpiles. Zbl 0864.35057Aronsson, G.; Evans, L. C.; Wu, Y. 43 1996 A geometric interpretation of the heat equation with multivalued initial data. Zbl 0862.35043Evans, Lawrence C. 5 1996 An unusual minimization principle for parabolic gradient flows. Zbl 0857.35057Evans, Lawrence C. 1 1996 Motion of level sets by mean curvature. IV. Zbl 0829.53040Evans, Lawrence C.; Spruck, Joel 32 1995 Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120Evans, L. C.; Müller, S. 32 1994 Convergence of an algorithm for mean curvature motion. Zbl 0802.65098Evans, Lawrence C. 50 1993 Estimates for smooth absolutely minimizing Lipschitz extensions. Zbl 0809.35032Evans, Lawrence C. 8 1993 Measure theory and fine properties of functions. Zbl 0804.28001Evans, Lawrence C.; Gariepy, Ronald F. 1,682 1992 Phase transitions and generalized motion by mean curvature. Zbl 0801.35045Evans, L. C.; Soner, H. M.; Souganidis, P. E. 217 1992 Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011Evans, Lawrence C. 108 1992 Motion of level sets by mean curvature. II. Zbl 0776.53005Evans, L. C.; Spruck, J. 83 1992 Motion of level sets by mean curvature. III. Zbl 0768.53003Evans, L. C.; Spruck, J. 63 1992 Motion of level sets by mean curvature. I. Zbl 0726.53029Evans, L. C.; Spruck, J. 344 1991 Partial regularity for stationary harmonic maps into spheres. Zbl 0754.58007Evans, Lawrence C. 125 1991 Level sets and motion by mean curvature. Zbl 0823.53011Evans, Lawrence C. 2 1991 Weak convergence methods for nonlinear partial differential equations. Expository lectures from the CBMS regional conference held at Loyola University of Chicago, June 27-July 1, 1988. Zbl 0698.35004Evans, Lawrence C. 88 1990 Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015Barles, G.; Evans, L. C.; Sougandis, P. E. 46 1990 The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001Evans, Lawrence C. 118 1989 A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014Evans, L. C.; Souganidis, P. E. 69 1989 The Hamiltonian-Jacobi-Bellman equation for time-optimal control. Zbl 0688.49029Evans, L. C.; James, M. R. 21 1989 A PDE approach to certain large deviation problems for systems of parabolic equations. Zbl 0679.60040Evans, L. C.; Souganidis, P. E. 14 1989 Blowup, compactness and partial regularity in the calculus of variations. Zbl 0626.49007Evans, L. C.; Gariepy, R. F. 219 1987 Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011Evans, L. C.; Gariepy, R. F. 22 1987 Quasiconvexity and partial regularity in the calculus of variations. Zbl 0623.49008Evans, Lawrence C. 3 1987 Blow-up, compactness and partial regularity in the calculus of variations. Zbl 0648.49007Evans, L. C.; Gariepy, R. F. 3 1987 Quasiconvexity and partial regularity in the calculus of variations. Zbl 0850.49004Evans, Lawrence C. 1 1987 Quasiconvexity and partial regularity in the calculus of variations. Zbl 0627.49006Evans, Lawrence C. 107 1986 Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029Chipot, Michel; Evans, Lawrence C. 64 1986 A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities. Zbl 0601.60076Evans, L. C.; Ishii, H. 40 1985 Some estimates for nondivergence structure, second order elliptic equations. Zbl 0565.35031Evans, Lawrence C. 5 1985 An elementary, direct proof of partial regularity for solutions of certain nonlinear elliptic systems. Zbl 0588.35042Evans, L. C.; Giarrusso, E. 3 1985 Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis 376 1984 Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317Evans, L. C.; Souganidis, P. E. 162 1984 On Hopf’s formulas for solutions of Hamilton-Jacobi equations. Zbl 0569.35011Bardi, M.; Evans, L. C. 70 1984 Optimal switching for ordinary differential equations. Zbl 0641.49017Capuzzo Dolcetta, I.; Evans, L. C. 54 1984 Viscosity solutions of Isaacs’ equations and differential games with Lipschitz controls. Zbl 0548.90104Barron, E. N.; Evans, L. C.; Jensen, R. 40 1984 Some min-max methods for the Hamilton-Jacobi equation. Zbl 0543.35012Evans, Lawrence C. 19 1984 Differential games and nonlinear first order PDE on bounded domains. Zbl 0559.35013Evans, L. C.; Ishii, H. 14 1984 Continuity of the temperature in the two-phase Stefan problem. Zbl 0516.35080Caffarelli, L. A.; Evans, L. C. 63 1983 Continuity of the gradient for weak solutions of a degenerate parabolic equation. Zbl 0529.35039Alikakos, Nicholas D.; Evans, Lawrence C. 24 1983 Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022Evans, Lawrence C. 194 1982 A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E. Zbl 0508.35036Evans, Lawrence C. 109 1982 Wiener’s criterion for the heat equation. Zbl 0508.35038Evans, Lawrence C.; Gariepy, Ronald F. 58 1982 A chemical diffusion-reaction free boundary problem. Zbl 0511.35082Evans, Lawrence C. 7 1982 Weak convergence theorems for nonlinear partial differential equations of first and second order. Zbl 0499.35009Ball, John M.; Evans, Lawrence C. 1 1982 Fully nonlinear second order elliptic equations with large zeroth order coefficient. Zbl 0441.35023Evans, Lawrence C.; Lions, Pierre-Louis 7 1981 The parabolic Bellman equation. Zbl 0467.35059Evans, Lawrence C.; Lenhart, Suzanne 7 1981 Gradient bounds for solutions of degenerate variational inequalities. Zbl 0477.49009Evans, Lawrence C.; Menaldi, Jose-Luis 3 1981 On solving certain nonlinear partial differential equations by accretive operator methods. Zbl 0454.35038Evans, Lawrence C. 36 1980 A convergence theorem for a chemical diffusion-reaction system. Zbl 0452.35005Evans, Lawrence C. 14 1980 Résolution des équations de Hamilton-Jacobi-Bellman pour des opérateurs uniformement elliptiques. Zbl 0461.49017Evans, Lawrence C.; Lions, Pierre-Louis 9 1980 Uniqueness for two immiscible fluids in a one-dimensional porous medium. Zbl 0454.76081Baiocchi, Claudio; Evans, Lawrence C.; Frank, Leonid; Friedman, Avner 3 1980 Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046Evans, Lawrence C.; Friedman, Avner 57 1979 Instantaneous shrinking of the support of nonnegative solutions to certain nonlinear parabolic equations and variational inequalities. Zbl 0403.35052Evans, Lawrence C.; Knerr, Barry F. 44 1979 A second order elliptic equation with gradient constraint. Zbl 0448.35036Evans, Lawrence C. 34 1979 A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators. Zbl 0447.49022Brézis, Haïm; Evans, L. C. 25 1979 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,995 Authors 33 Rossi, Julio Daniel 31 Gomes, Diogo Luís Aguiar 29 Souganidis, Panagiotis E. 27 Cannarsa, Piermarco 27 Lions, Pierre-Louis 26 Perthame, Benoît 23 Katzourakis, Nikolaos I. 22 Mazón Ruiz, José M. 22 Yu, Yifeng 20 Lahti, Panu 20 Tran Vinh Hung 19 Crandall, Michael G. 19 Fonseca, Irene 19 Ishii, Hitoshi 18 Caselles Costa, Vicent 18 Igbida, Noureddine 18 Rehberg, Joachim 17 Ambrosio, Luigi 17 Barron, Emmanuel Nicholas 17 Evans, Lawrence Craig 17 Mitake, Hiroyoshi 17 Vazquez, Juan Luis 16 Barles, Guy 16 Byun, Sun-Sig 16 Figalli, Alessio 16 Frankowska, Hélène 16 Osher, Stanley Joel 15 Bressan, Alberto 15 Casado-Díaz, Juan 15 Osmolovskij, V. G. 15 Wang, Hong 14 Auchmuty, Giles 14 Chen, Gui-Qiang G. 14 Giga, Yoshikazu 14 Novaga, Matteo 14 Smarrazzo, Flavia 14 Wang, Changyou 13 Carrillo de la Plata, José Antonio 13 Chambolle, Antonin 13 Conti, Sergio 13 Hajłasz, Piotr 13 Hofmann, Steve 13 Hynd, Ryan 13 Tesei, Alberto 12 Andreu, Fuensanta 12 Feng, Xiaobing 12 Lenhart, Suzanne M. 12 McCann, Robert J. 12 Mirrahimi, Sepideh 12 Müller, Stefan 12 Pedregal, Pablo 12 Ponce, Augusto C. 12 Santambrogio, Filippo 12 Shanmugalingam, Nageswari 12 Soner, Halil Mete 11 Caffarelli, Luis Ángel 11 Cardin, Franco 11 De Philippis, Guido 11 Fragalà, Ilaria 11 Fusco, Nicola 11 Garcke, Harald 11 Kristensen, Jan 11 Liu, Jianguo 11 Marcellini, Paolo 11 Nicholls, David P. 11 Quincampoix, Marc 11 Xiao, Jie 10 Bellettini, Giovanni 10 Bucur, Dorin 10 Cardaliaguet, Pierre 10 Crasta, Graziano 10 Dal Maso, Gianni 10 Gangbo, Wilfrid 10 Goodrich, Christopher S. 10 Kaltenbacher, Barbara 10 Kinnunen, Juha 10 Koskela, Pekka 10 Mayboroda, Svitlana 10 Mingione, Giuseppe 10 Nochetto, Ricardo Horacio 10 Papageorgiou, Nikolaos S. 10 Parviainen, Mikko 10 Pfeffer, Washek Frank 10 Pratelli, Aldo 10 Roquejoffre, Jean-Michel 10 Smart, Charles K. 10 Spector, Daniel E. 9 Armstrong, Scott N. 9 Bögelein, Verena 9 Darbon, Jerome 9 De Pascale, Luigi 9 Garofalo, Nicola 9 Giacomini, Alessandro 9 Henao, Duvan A. 9 Hintermüller, Michael 9 Korobkov, Mikhail V. 9 Lelièvre, Tony 9 Li, Wuchen 9 Majumdar, Apala 9 Malý, Jan ...and 6,895 more Authors all top 5 Cited in 570 Serials 247 Calculus of Variations and Partial Differential Equations 219 Archive for Rational Mechanics and Analysis 182 Journal of Mathematical Analysis and Applications 176 Journal of Differential Equations 174 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 122 Transactions of the American Mathematical Society 118 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 113 SIAM Journal on Mathematical Analysis 96 Journal of Functional Analysis 91 Proceedings of the American Mathematical Society 87 Communications in Partial Differential Equations 78 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 76 Journal of Scientific Computing 74 Applied Mathematics and Optimization 65 Communications in Mathematical Physics 65 The Journal of Geometric Analysis 63 Discrete and Continuous Dynamical Systems 57 Mathematics of Computation 56 Annali di Matematica Pura ed Applicata. Serie Quarta 55 Journal de Mathématiques Pures et Appliquées. Neuvième Série 55 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 53 NoDEA. 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Series B 30 Journal of Computational and Applied Mathematics 30 Acta Applicandae Mathematicae 30 Journal of Mathematical Imaging and Vision 30 Communications in Contemporary Mathematics 29 Numerical Functional Analysis and Optimization 28 Journal of Statistical Physics 28 SIAM Journal on Applied Mathematics 28 Communications on Pure and Applied Analysis 28 Advances in Calculus of Variations 27 Computers & Mathematics with Applications 27 Nonlinear Analysis. Real World Applications 26 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 25 Manuscripta Mathematica 25 Physica D 24 The Annals of Probability 24 Potential Analysis 23 Journal d’Analyse Mathématique 23 Duke Mathematical Journal 23 Revista Matemática Iberoamericana 23 The Annals of Applied Probability 23 Abstract and Applied Analysis 20 Computer Methods in Applied Mechanics and Engineering 20 Probability Theory and Related Fields 20 Journal of the European Mathematical Society (JEMS) 20 Multiscale Modeling & Simulation 19 Israel Journal of Mathematics 19 Chinese Annals of Mathematics. Series B 19 SIAM Journal on Imaging Sciences 19 Discrete and Continuous Dynamical Systems. 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English Series 14 Journal of Elliptic and Parabolic Equations 13 Archiv der Mathematik 13 Mathematische Nachrichten ...and 470 more Serials all top 5 Cited in 60 Fields 3,594 Partial differential equations (35-XX) 1,471 Calculus of variations and optimal control; optimization (49-XX) 887 Numerical analysis (65-XX) 512 Fluid mechanics (76-XX) 461 Probability theory and stochastic processes (60-XX) 392 Mechanics of deformable solids (74-XX) 387 Functional analysis (46-XX) 327 Differential geometry (53-XX) 296 Real functions (26-XX) 293 Operator theory (47-XX) 277 Biology and other natural sciences (92-XX) 247 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 238 Systems theory; control (93-XX) 235 Global analysis, analysis on manifolds (58-XX) 231 Statistical mechanics, structure of matter (82-XX) 212 Measure and integration (28-XX) 200 Potential theory (31-XX) 187 Dynamical systems and ergodic theory (37-XX) 181 Ordinary differential equations (34-XX) 173 Operations research, mathematical programming (90-XX) 114 Information and communication theory, circuits (94-XX) 112 Computer science (68-XX) 110 Functions of a complex variable (30-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 94 Quantum theory (81-XX) 90 Optics, electromagnetic theory (78-XX) 87 Integral equations (45-XX) 87 Convex and discrete geometry (52-XX) 87 Statistics (62-XX) 80 Classical thermodynamics, heat transfer (80-XX) 78 Mechanics of particles and systems (70-XX) 43 Several complex variables and analytic spaces (32-XX) 42 Relativity and gravitational theory (83-XX) 41 Approximations and expansions (41-XX) 34 Geophysics (86-XX) 25 Manifolds and cell complexes (57-XX) 24 General topology (54-XX) 22 Combinatorics (05-XX) 20 Topological groups, Lie groups (22-XX) 19 Special functions (33-XX) 16 Difference and functional equations (39-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Geometry (51-XX) 12 Integral transforms, operational calculus (44-XX) 12 Algebraic topology (55-XX) 12 Astronomy and astrophysics (85-XX) 11 Number theory (11-XX) 7 Abstract harmonic analysis (43-XX) 5 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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