Edit Profile Evans, Lawrence Craig Compute Distance To: Compute Author ID: evans.lawrence-craig Published as: Evans, L. C.; Evans, Lawrence; Evans, Lawrence C.; Evans, Lawrence Craig Homepage: https://math.berkeley.edu/~evans/ External Links: MGP · Wikidata · GND Documents Indexed: 120 Publications since 1975, including 8 Books Biographic References: 1 Publication all top 5 Co-Authors 15 single-authored 10 Gariepy, Ronald F. 5 Crandall, Michael G. 4 Lions, Pierre-Louis 4 Souganidis, Panagiotis E. 3 Gomes, Diogo Luís Aguiar 2 Aronsson, Gunnar 2 Barron, Emmanuel Nicholas 2 Bénilan, Philippe 2 Chipot, Michel 2 Gangbo, Wilfrid 2 Savin, Ovidiu V. 2 Smart, Charles K. 1 Bardi, Martino 1 Barles, Guy 1 De Pascale, Luigi 1 Dorfman, Jonathan 1 Feldman, Mikhail 1 James, Matthew R. 1 Jensen, Reed 1 Jensen, Ronald Björn 1 Kneuss, Olivier 1 Lenhart, Suzanne M. 1 Pierre, Michel 1 Portilheiro, Manuel 1 Pratelli, Aldo 1 Soner, Halil Mete 1 Sougandis, P. E. 1 Tran Vinh Hung 1 Wu, Yuhuai 1 Yu, Yifeng 1 Zhang, Te all top 5 Serials 7 Calculus of Variations and Partial Differential Equations 5 Archive for Rational Mechanics and Analysis 4 Indiana University Mathematics Journal 4 Transactions of the American Mathematical Society 3 Journal of Differential Equations 2 Communications on Pure and Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Graduate Studies in Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Séminaire Équations aux Dérivées Partielles 1 Electronic Journal of Differential Equations (EJDE) 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 Regional Conference Series in Mathematics 1 Textbooks in Mathematics all top 5 Fields 48 Partial differential equations (35-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 10 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 113 Publications have been cited 8,837 times in 7,203 Documents Cited by ▼ Year ▼ Measure theory and fine properties of functions. Zbl 0804.28001Evans, Lawrence C.; Gariepy, Ronald F. 1,776 1992 Partial differential equations. Zbl 0902.35002Evans, Lawrence C. 1,662 1998 Partial differential equations. 2nd ed. Zbl 1194.35001Evans, Lawrence C. 767 2010 Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis 342 1984 Motion of level sets by mean curvature. I. Zbl 0726.53029Evans, L. C.; Spruck, J. 317 1991 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. 196 1992 Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022Evans, Lawrence C. 173 1982 Differential equations methods for the Monge-Kantorovich mass transfer problem. Zbl 0920.49004Evans, L. C.; Gangbo, W. 159 1999 Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317Evans, L. C.; Souganidis, P. E. 159 1984 Measure theory and fine properties of functions. 2nd revised ed. Zbl 1310.28001Evans, Lawrence Craig; Gariepy, Ronald F. 149 2015 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. 127 1990 Partial regularity for stationary harmonic maps into spheres. Zbl 0754.58007Evans, Lawrence C. 120 1991 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 110 2001 The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001Evans, Lawrence C. 105 1989 Quasiconvexity and partial regularity in the calculus of variations. Zbl 0627.49006Evans, Lawrence C. 104 1986 Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011Evans, Lawrence C. 98 1992 A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E. Zbl 0508.35036Evans, Lawrence C. 97 1982 Partial differential equations and Monge-Kantorovich mass transfer. Zbl 0954.35011Evans, Lawrence C. 91 1999 Motion of level sets by mean curvature. II. Zbl 0776.53005Evans, L. C.; Spruck, J. 79 1992 Nonlinear evolution equations in an arbitrary Banach space. Zbl 0349.34043Evans, L. C. 79 1977 On Hopf’s formulas for solutions of Hamilton-Jacobi equations. Zbl 0569.35011Bardi, M.; Evans, L. C. 66 1984 A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014Evans, L. C.; Souganidis, P. E. 61 1989 Motion of level sets by mean curvature. III. Zbl 0768.53003Evans, L. C.; Spruck, J. 59 1992 Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029Chipot, Michel; Evans, Lawrence C. 59 1986 Continuity of the temperature in the two-phase Stefan problem. Zbl 0516.35080Caffarelli, L. A.; Evans, L. C. 58 1983 Optimal switching for ordinary differential equations. Zbl 0641.49017Capuzzo Dolcetta, I.; Evans, L. C. 57 1984 The infinity Laplacian, Aronsson’s equation and their generalizations. Zbl 1125.35019Barron, E. N.; Evans, L. C.; Jensen, R. 56 2008 Wiener’s criterion for the heat equation. Zbl 0508.35038Evans, Lawrence C.; Gariepy, Ronald F. 56 1982 Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046Evans, Lawrence C.; Friedman, Avner 55 1979 Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034Evans, Lawrence C.; Smart, Charles K. 49 2011 Convergence of an algorithm for mean curvature motion. Zbl 0802.65098Evans, Lawrence C. 49 1993 \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions. Zbl 1151.35096Evans, Lawrence C.; Savin, Ovidiu 48 2008 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. 42 1979 Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056Evans, L. C.; Gomes, D. 41 2001 Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015Barles, G.; Evans, L. C.; Sougandis, P. E. 41 1990 Fast/slow diffusion and growing sandpiles. Zbl 0864.35057Aronsson, G.; Evans, L. C.; Wu, Y. 40 1996 Viscosity solutions of Isaacs’ equations and differential games with Lipschitz controls. Zbl 0548.90104Barron, E. N.; Evans, L. C.; Jensen, R. 39 1984 Application of nonlinear semigroup theory to certain partial differential equations. Zbl 0471.35039Evans, Lawrence C. 39 1978 An introduction to stochastic differential equations. Zbl 1416.60002Evans, Lawrence C. 38 2013 A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities. Zbl 0601.60076Evans, L. C.; Ishii, H. 38 1985 Motion of level sets by mean curvature. IV. Zbl 0829.53040Evans, Lawrence C.; Spruck, Joel 34 1995 On solving certain nonlinear partial differential equations by accretive operator methods. Zbl 0454.35038Evans, Lawrence C. 34 1980 Adjoint and compensated compactness methods for Hamilton-Jacobi PDE. Zbl 1273.70030Evans, Lawrence C. 33 2010 A second order elliptic equation with gradient constraint. Zbl 0448.35036Evans, Lawrence C. 33 1979 Some new PDE methods for weak KAM theory. Zbl 1032.37048Evans, Lawrence C. 30 2003 Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120Evans, L. C.; Müller, S. 29 1994 A convergence theorem for solutions of nonlinear second order elliptic equations. Zbl 0408.35037Evans, Lawrence C. 28 1978 Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019Evans, L. C.; Feldman, M.; Gariepy, R. F. 25 1997 Regularity properties for the heat equation subject to nonlinear boundary constraints. Zbl 0369.35034Evans, Lawrence C. 25 1977 On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024Evans, L. C.; Gariepy, R. F. 24 1999 Continuity of the gradient for weak solutions of a degenerate parabolic equation. Zbl 0529.35039Alikakos, Nicholas D.; Evans, Lawrence C. 24 1983 A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators. Zbl 0447.49022Brézis, Haïm; Evans, L. C. 24 1979 Irreversibility and hysteresis for a forward-backward diffusion equation. Zbl 1064.35091Evans, L. C.; Portilheiro, M. 23 2004 Integral estimates for transport densities. Zbl 1068.35170De Pascale, L.; Evans, L. C.; Pratelli, A. 23 2004 A survey of entropy methods for partial differential equations. Zbl 1053.35004Evans, Lawrence C. 23 2004 Various properties of solutions of the infinity-Laplacian equation. Zbl 1123.35018Evans, Lawrence C.; Yu, Yifeng 22 2005 Some remarks concerning quasiconvexity and strong convergence. Zbl 0628.49011Evans, L. C.; Gariepy, R. F. 22 1987 Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061Evans, L. C.; Savin, O.; Gangbo, W. 21 2005 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. 20 1984 The 1-Laplacian, the \(\infty\)-Laplacian and differential games. Zbl 1200.35114Evans, Lawrence C. 19 2007 Weak KAM theory and partial differential equations. Zbl 1138.49024Evans, Lawrence C. 17 2008 Further PDE methods for weak KAM theory. Zbl 1179.35102Evans, Lawrence C. 15 2009 A survey of partial differential equations methods in weak KAM theory. Zbl 1040.37046Evans, Lawrence C. 15 2004 A free boundary problem: The flow of two immiscible fluids in a one- dimensional porous medium. I. Zbl 0411.76066Evans, Lawrence C. 15 1977 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. 12 1978 Towards a quantum analog of weak KAM theory. Zbl 1073.81037Evans, Lawrence C. 11 2004 Effective Hamiltonians and averaging for Hamiltonian dynamics. II. Zbl 1100.37039Evans, L. C.; Gomes, D. 11 2002 Differentiability of a nonlinear semigroup in \(L^1\). Zbl 0363.47032Evans, Lawrence C. 11 1977 Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143Evans, L. C.; Gomes, D. 10 2002 An asymptotic model for compression molding. Zbl 1082.76033Aronsson, G.; Evans, L. C. 10 2002 A convergence theorem for a chemical diffusion-reaction system. Zbl 0452.35005Evans, Lawrence C. 10 1980 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. 7 2014 Regularity for fully nonlinear elliptic equations and motion by mean curvature. Zbl 0905.35021Evans, Lawrence C. 7 1997 Estimates for smooth absolutely minimizing Lipschitz extensions. Zbl 0809.35032Evans, Lawrence C. 7 1993 Fully nonlinear second order elliptic equations with large zeroth order coefficient. Zbl 0441.35023Evans, Lawrence C.; Lions, Pierre-Louis 7 1981 A singular semilinear equation in \(L^1(R)\). Zbl 0349.34018Crandall, Michael G.; Evans, Lawrence C. 7 1977 A stochastic model for growing sandpiles and its continuum limit. Zbl 0924.60099Evans, Lawrence C.; Rezakhanlou, Fraydoun 6 1998 A chemical diffusion-reaction free boundary problem. Zbl 0511.35082Evans, Lawrence C. 6 1982 The parabolic Bellman equation. Zbl 0467.35059Evans, Lawrence C.; Lenhart, Suzanne 6 1981 Regularity and asymptotic behavior of two immiscible fluids in a one- dimensional porous medium. Zbl 0419.35080Evans, Lawrence C.; Friedman, Avner 6 1979 Asymptotics for scaled Kramers-Smoluchowski equations. Zbl 1362.35154Evans, Lawrence C.; Tabrizian, Peyam R. 5 2016 Monotonicity formulae for variational problems. Zbl 1292.35122Evans, Lawrence C. 5 2013 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 Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models. Zbl 1337.49067Evans, Lawrence C.; Kneuss, Olivier; Tran, Hung 4 2016 Gradient bounds for solutions of degenerate variational inequalities. Zbl 0477.49009Evans, Lawrence C.; Menaldi, Jose-Luis 4 1981 Uniqueness for two immiscible fluids in a one-dimensional porous medium. Zbl 0454.76081Baiocchi, Claudio; Evans, Lawrence C.; Frank, Leonid; Friedman, Avner 4 1980 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 Waiting time effects for Gauss curvature flows. Zbl 0995.53050Chopp, D.; Evans, L. C.; Ishii, H. 3 1999 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 0623.49008Evans, Lawrence C. 3 1987 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. 5 2016 Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models. Zbl 1337.49067Evans, Lawrence C.; Kneuss, Olivier; Tran, Hung 4 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. 149 2015 Envelopes and nonconvex Hamilton-Jacobi equations. Zbl 1302.49038Evans, Lawrence C. 7 2014 An introduction to stochastic differential equations. Zbl 1416.60002Evans, Lawrence C. 38 2013 Monotonicity formulae for variational problems. Zbl 1292.35122Evans, Lawrence C. 5 2013 Everywhere differentiability of infinity harmonic functions. Zbl 1251.49034Evans, Lawrence C.; Smart, Charles K. 49 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. 767 2010 Adjoint and compensated compactness methods for Hamilton-Jacobi PDE. Zbl 1273.70030Evans, Lawrence C. 33 2010 Further PDE methods for weak KAM theory. Zbl 1179.35102Evans, Lawrence C. 15 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 48 2008 Weak KAM theory and partial differential equations. Zbl 1138.49024Evans, Lawrence C. 17 2008 The 1-Laplacian, the \(\infty\)-Laplacian and differential games. Zbl 1200.35114Evans, Lawrence C. 19 2007 Various properties of solutions of the infinity-Laplacian equation. Zbl 1123.35018Evans, Lawrence C.; Yu, Yifeng 22 2005 Diffeomorphisms and nonlinear heat flows. Zbl 1096.35061Evans, L. C.; Savin, O.; Gangbo, W. 21 2005 Irreversibility and hysteresis for a forward-backward diffusion equation. Zbl 1064.35091Evans, L. C.; Portilheiro, M. 23 2004 Integral estimates for transport densities. Zbl 1068.35170De Pascale, L.; Evans, L. C.; Pratelli, A. 23 2004 A survey of entropy methods for partial differential equations. Zbl 1053.35004Evans, Lawrence C. 23 2004 A survey of partial differential equations methods in weak KAM theory. Zbl 1040.37046Evans, Lawrence C. 15 2004 Towards a quantum analog of weak KAM theory. Zbl 1073.81037Evans, Lawrence C. 11 2004 Some new PDE methods for weak KAM theory. Zbl 1032.37048Evans, Lawrence C. 30 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. 11 2002 Linear programming interpretations of Mather’s variational principle. Zbl 1090.90143Evans, L. C.; Gomes, D. 10 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. 110 2001 Effective Hamiltonians and averaging for Hamiltonian dynamics. I. Zbl 0986.37056Evans, L. C.; Gomes, D. 41 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. 159 1999 Partial differential equations and Monge-Kantorovich mass transfer. Zbl 0954.35011Evans, Lawrence C. 91 1999 On the partial regularity of energy-minimizing, area-preserving maps. Zbl 0954.49024Evans, L. C.; Gariepy, R. F. 24 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. 1,662 1998 A stochastic model for growing sandpiles and its continuum limit. Zbl 0924.60099Evans, Lawrence C.; Rezakhanlou, Fraydoun 6 1998 Fast/slow diffusion and collapsing sandpiles,. Zbl 0879.35019Evans, L. C.; Feldman, M.; Gariepy, R. F. 25 1997 Regularity for fully nonlinear elliptic equations and motion by mean curvature. Zbl 0905.35021Evans, Lawrence C. 7 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. 40 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 34 1995 Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity. Zbl 0802.35120Evans, L. C.; Müller, S. 29 1994 Convergence of an algorithm for mean curvature motion. Zbl 0802.65098Evans, Lawrence C. 49 1993 Estimates for smooth absolutely minimizing Lipschitz extensions. Zbl 0809.35032Evans, Lawrence C. 7 1993 Measure theory and fine properties of functions. Zbl 0804.28001Evans, Lawrence C.; Gariepy, Ronald F. 1,776 1992 Phase transitions and generalized motion by mean curvature. Zbl 0801.35045Evans, L. C.; Soner, H. M.; Souganidis, P. E. 196 1992 Periodic homogenisation of certain fully nonlinear partial differential equations. Zbl 0796.35011Evans, Lawrence C. 98 1992 Motion of level sets by mean curvature. II. Zbl 0776.53005Evans, L. C.; Spruck, J. 79 1992 Motion of level sets by mean curvature. III. Zbl 0768.53003Evans, L. C.; Spruck, J. 59 1992 Motion of level sets by mean curvature. I. Zbl 0726.53029Evans, L. C.; Spruck, J. 317 1991 Partial regularity for stationary harmonic maps into spheres. Zbl 0754.58007Evans, Lawrence C. 120 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. 127 1990 Wavefront propagation for reaction-diffusion systems of PDE. Zbl 0749.35015Barles, G.; Evans, L. C.; Sougandis, P. E. 41 1990 The perturbed test function method for viscosity solutions of nonlinear PDE. Zbl 0679.35001Evans, Lawrence C. 105 1989 A PDE approach to geometric optics for certain semilinear parabolic equations. Zbl 0692.35014Evans, L. C.; Souganidis, P. E. 61 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 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 0623.49008Evans, Lawrence C. 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. 104 1986 Linearization at infinity and Lipschitz estimates for certain problems in the calculus of variations. Zbl 0602.49029Chipot, Michel; Evans, Lawrence C. 59 1986 A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities. Zbl 0601.60076Evans, L. C.; Ishii, H. 38 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 342 1984 Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations. Zbl 1169.91317Evans, L. C.; Souganidis, P. E. 159 1984 On Hopf’s formulas for solutions of Hamilton-Jacobi equations. Zbl 0569.35011Bardi, M.; Evans, L. C. 66 1984 Optimal switching for ordinary differential equations. Zbl 0641.49017Capuzzo Dolcetta, I.; Evans, L. C. 57 1984 Viscosity solutions of Isaacs’ equations and differential games with Lipschitz controls. Zbl 0548.90104Barron, E. N.; Evans, L. C.; Jensen, R. 39 1984 Some min-max methods for the Hamilton-Jacobi equation. Zbl 0543.35012Evans, Lawrence C. 20 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. 58 1983 Continuity of the gradient for weak solutions of a degenerate parabolic equation. Zbl 0529.35039Alikakos, Nicholas D.; Evans, Lawrence C. 24 1983 Continuity of the temperature in two-phase Stefan problems. Zbl 0511.35051Caffarelli, L. A.; Evans, L. C. 1 1983 Classical solutions of fully nonlinear, convex, second-order elliptic equations. Zbl 0469.35022Evans, Lawrence C. 173 1982 A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E. Zbl 0508.35036Evans, Lawrence C. 97 1982 Wiener’s criterion for the heat equation. Zbl 0508.35038Evans, Lawrence C.; Gariepy, Ronald F. 56 1982 A chemical diffusion-reaction free boundary problem. Zbl 0511.35082Evans, Lawrence C. 6 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 6 1981 Gradient bounds for solutions of degenerate variational inequalities. Zbl 0477.49009Evans, Lawrence C.; Menaldi, Jose-Luis 4 1981 On solving certain nonlinear partial differential equations by accretive operator methods. Zbl 0454.35038Evans, Lawrence C. 34 1980 A convergence theorem for a chemical diffusion-reaction system. Zbl 0452.35005Evans, Lawrence C. 10 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 4 1980 Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046Evans, Lawrence C.; Friedman, Avner 55 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. 42 1979 A second order elliptic equation with gradient constraint. Zbl 0448.35036Evans, Lawrence C. 33 1979 A variational inequality approach to the Bellman-Dirichlet equation for two elliptic operators. Zbl 0447.49022Brézis, Haïm; Evans, L. C. 24 1979 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,920 Authors 47 Souganidis, Panagiotis E. 41 Lions, Pierre-Louis 33 Evans, Lawrence Craig 33 Rossi, Julio Daniel 30 Perthame, Benoît 28 Gomes, Diogo Luís Aguiar 28 Ishii, Hitoshi 27 Tran Vinh Hung 26 Caffarelli, Luis Ángel 26 Cannarsa, Piermarco 26 Giga, Yoshikazu 25 Yu, Yifeng 24 Caselles Costa, Vicent 24 Mazón Ruiz, José M. 24 Wang, Changyou 23 Crandall, Michael G. 23 Osher, Stanley Joel 22 Barles, Guy 22 Figalli, Alessio 22 Katzourakis, Nikolaos I. 22 Novaga, Matteo 22 Vazquez, Juan Luis 20 Ambrosio, Luigi 20 Fonseca, Irene 19 Barron, Emmanuel Nicholas 19 Mingione, Giuseppe 19 Mitake, Hiroyoshi 18 Chen, Gui-Qiang G. 18 Lahti, Panu 18 Soner, Halil Mete 18 Wang, Lihe 17 Byun, Sun-Sig 17 Cardaliaguet, Pierre 17 Igbida, Noureddine 17 Lenhart, Suzanne M. 17 Rehberg, Joachim 16 Chambolle, Antonin 16 Müller, Stefan 16 Slodička, Marián 15 Andreu, Fuensanta 15 Bardi, Martino 15 Bellettini, Giovanni 15 Bressan, Alberto 15 Diaz Diaz, Jesus Ildefonso 15 Monneau, Régis 15 Parviainen, Mikko 14 Armstrong, Scott N. 14 Auchmuty, Giles 14 Casado-Díaz, Juan 14 Kristensen, Jan 14 Kunisch, Karl 14 Xu, Xiangsheng 13 Alikakos, Nicholas D. 13 Chen, Xinfu 13 Conti, Sergio 13 Fusco, Nicola 13 Kim, Inwon Christina 13 Marcellini, Paolo 13 Nochetto, Ricardo Horacio 13 Teixeira, Eduardo V. O. 13 Valdinoci, Enrico 12 Carrillo de la Plata, José Antonio 12 Duzaar, Frank 12 Feng, Xiaobing 12 Frankowska, Hélène 12 Hynd, Ryan 12 Lin, Fang Hua 12 Liu, Qing 12 Pedregal, Pablo 12 Ponce, Augusto C. 12 Pratelli, Aldo 12 Quincampoix, Marc 12 Santambrogio, Filippo 12 Smarrazzo, Flavia 12 Smart, Charles K. 12 Wang, Hong 12 Wang, Xu-Jia 11 Burger, Martin 11 Chen, Caisheng 11 Gangbo, Wilfrid 11 Hilhorst, Danielle 11 Liu, Jianguo 11 Manfredi, Juan J. 11 McCann, Robert J. 11 Mirrahimi, Sepideh 11 Oberman, Adam M. 11 Röger, Matthias 11 Roquejoffre, Jean-Michel 11 Scherzer, Otmar 11 Shanmugalingam, Nageswari 11 Tesei, Alberto 11 Wang, Dehua 11 Wei, Juncheng 10 Bucur, Dorin 10 Camilli, Fabio 10 Dacorogna, Bernard 10 Dal Maso, Gianni 10 Fragalà, Ilaria 10 Frid, Hermano 10 Garcke, Harald ...and 7,820 more Authors all top 5 Cited in 559 Serials 314 Journal of Differential Equations 309 Journal of Mathematical Analysis and Applications 288 Calculus of Variations and Partial Differential Equations 275 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 252 Archive for Rational Mechanics and Analysis 150 Communications in Partial Differential Equations 142 Transactions of the American Mathematical Society 140 Journal of Functional Analysis 117 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 113 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 108 Nonlinear Analysis. Theory, Methods & Applications 106 Proceedings of the American Mathematical Society 99 SIAM Journal on Mathematical Analysis 96 Journal de Mathématiques Pures et Appliquées. Neuvième Série 91 Journal of Computational Physics 80 Applied Mathematics and Optimization 76 Journal of Scientific Computing 75 Advances in Mathematics 73 Discrete and Continuous Dynamical Systems 72 Annali di Matematica Pura ed Applicata. Serie Quarta 71 The Journal of Geometric Analysis 67 Mathematische Annalen 64 Communications in Mathematical Physics 63 Journal of Mathematical Sciences (New York) 59 Communications on Pure and Applied Mathematics 59 Mathematics of Computation 59 Journal of Computational and Applied Mathematics 54 Nonlinear Analysis. Real World Applications 51 Mathematical Methods in the Applied Sciences 51 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 51 NoDEA. Nonlinear Differential Equations and Applications 49 Applied Mathematics and Computation 47 Journal of Optimization Theory and Applications 47 Numerische Mathematik 46 Computers & Mathematics with Applications 44 Physica D 44 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 43 SIAM Journal on Numerical Analysis 43 Comptes Rendus. Mathématique. Académie des Sciences, Paris 41 SIAM Journal on Control and Optimization 38 ZAMP. Zeitschrift für angewandte Mathematik und Physik 37 Manuscripta Mathematica 37 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 36 Journal of Evolution Equations 35 Communications in Contemporary Mathematics 33 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 32 Numerical Functional Analysis and Optimization 32 Applied Numerical Mathematics 32 Communications on Pure and Applied Analysis 31 Quarterly of Applied Mathematics 31 SIAM Journal on Scientific Computing 30 Computer Methods in Applied Mechanics and Engineering 30 Duke Mathematical Journal 30 Discrete and Continuous Dynamical Systems. Series S 29 Journal of Statistical Physics 29 Discrete and Continuous Dynamical Systems. Series B 28 Potential Analysis 28 Abstract and Applied Analysis 27 Journal d’Analyse Mathématique 27 Acta Applicandae Mathematicae 27 Applied Mathematics Letters 27 Stochastic Processes and their Applications 26 The Annals of Probability 25 Journal of Mathematical Physics 25 SIAM Journal on Applied Mathematics 25 Advances in Calculus of Variations 24 The Annals of Applied Probability 23 Israel Journal of Mathematics 23 Revista Matemática Iberoamericana 23 Journal of Mathematical Imaging and Vision 22 Inventiones Mathematicae 22 Systems & Control Letters 22 Journal of the European Mathematical Society (JEMS) 21 Automatica 21 Chinese Annals of Mathematics. Series B 20 Bulletin of the American Mathematical Society. New Series 19 Applicable Analysis 19 Mathematische Zeitschrift 19 Probability Theory and Related Fields 19 European Journal of Applied Mathematics 18 Acta Mathematicae Applicatae Sinica. English Series 18 Computational Optimization and Applications 18 SIAM Journal on Imaging Sciences 17 Journal of Mathematical Biology 17 Journal of Elasticity 17 Advances in Computational Mathematics 17 Acta Mathematica Sinica. English Series 17 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 17 Boundary Value Problems 16 Zeitschrift für Analysis und ihre Anwendungen 16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 16 Annales Henri Poincaré 15 Journal für die Reine und Angewandte Mathematik 15 Memoirs of the American Mathematical Society 15 Journal of Nonlinear Science 15 Inverse Problems and Imaging 14 Mathematische Nachrichten 14 Rendiconti del Seminario Matematico della Università di Padova 14 Doklady Mathematics 14 Interfaces and Free Boundaries ...and 459 more Serials all top 5 Cited in 61 Fields 4,515 Partial differential equations (35-XX) 1,671 Calculus of variations and optimal control; optimization (49-XX) 970 Numerical analysis (65-XX) 623 Fluid mechanics (76-XX) 516 Probability theory and stochastic processes (60-XX) 489 Differential geometry (53-XX) 439 Mechanics of deformable solids (74-XX) 407 Functional analysis (46-XX) 355 Global analysis, analysis on manifolds (58-XX) 354 Operator theory (47-XX) 331 Systems theory; control (93-XX) 309 Biology and other natural sciences (92-XX) 292 Real functions (26-XX) 267 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 259 Statistical mechanics, structure of matter (82-XX) 229 Ordinary differential equations (34-XX) 208 Dynamical systems and ergodic theory (37-XX) 201 Potential theory (31-XX) 183 Measure and integration (28-XX) 169 Operations research, mathematical programming (90-XX) 127 Classical thermodynamics, heat transfer (80-XX) 111 Computer science (68-XX) 110 Information and communication theory, circuits (94-XX) 108 Optics, electromagnetic theory (78-XX) 105 Functions of a complex variable (30-XX) 104 Integral equations (45-XX) 101 Harmonic analysis on Euclidean spaces (42-XX) 101 Quantum theory (81-XX) 89 Mechanics of particles and systems (70-XX) 79 Convex and discrete geometry (52-XX) 76 Statistics (62-XX) 59 Several complex variables and analytic spaces (32-XX) 46 Relativity and gravitational theory (83-XX) 44 Approximations and expansions (41-XX) 40 Geophysics (86-XX) 26 General topology (54-XX) 23 Combinatorics (05-XX) 22 Manifolds and cell complexes (57-XX) 21 Special functions (33-XX) 21 Difference and functional equations (39-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 18 Topological groups, Lie groups (22-XX) 15 Integral transforms, operational calculus (44-XX) 15 Algebraic topology (55-XX) 15 Astronomy and astrophysics (85-XX) 12 Geometry (51-XX) 10 Number theory (11-XX) 9 Abstract harmonic analysis (43-XX) 7 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 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 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. Updates and corrections should be made in Wikidata.