Edit Profile (opens in new tab) Crandall, Michael G. Co-Author Distance Author ID: crandall.michael-g Published as: Crandall, Michael G.; Crandall, M. G.; Crandall, Michael more...less Homepage: https://web.math.ucsb.edu/~crandall/ External Links: MGP · Wikidata · Google Scholar · GND · IdRef Documents Indexed: 104 Publications since 1967 4 Contributions as Editor Co-Authors: 39 Co-Authors with 88 Joint Publications 1,220 Co-Co-Authors all top 5 Co-Authors 20 single-authored 22 Lions, Pierre-Louis 10 Rabinowitz, Paul Henry 9 Pazy, Amnon 7 Bénilan, Philippe 7 Świȩch, Andrzej 6 Kocan, Maciej 5 Brézis, Haïm 5 Evans, Lawrence Craig 4 Caffarelli, Luis Ángel 4 Souganidis, Panagiotis E. 3 Ishii, Hitoshi 3 Pierre, Michel 3 Tartar, Luc C. 2 Kappel, Franz 2 Liggett, Thomas Milton 2 Majda, Andrew J. 2 Newcomb, Richard T. II 2 Nohel, John A. 2 Wang, Peiyong 1 Amann, Herbert 1 Armstrong, Scott N. 1 Aronson, Donald G. 1 Aronsson, Gunnar 1 Gariepy, Ronald F. 1 Gunnarsson, Gunnar 1 Huan, Zhongdan 1 Julin, Vesa 1 Juutinen, Petri 1 Londen, Stig-Olof 1 Peletier, Lambertus Adrianus 1 Phillips, Ralph Saul 1 Sacks, Paul E. 1 Smart, Charles K. 1 Soravia, Pierpaolo 1 Tomita, Yoshihito 1 Turner, Robert E. L. 1 Wang, Changyou 1 Yu, Yifeng 1 Zhang, Jianying all top 5 Serials 11 Journal of Functional Analysis 7 Archive for Rational Mechanics and Analysis 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 6 Israel Journal of Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications 4 Indiana University Mathematics Journal 4 Communications in Partial Differential Equations 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Differential and Integral Equations 3 Journal of Mathematics and Mechanics 2 Communications on Pure and Applied Mathematics 2 Mathematics of Computation 2 American Journal of Mathematics 2 Journal of the Mathematical Society of Japan 2 Numerische Mathematik 2 Bulletin of the American Mathematical Society. New Series 2 Electronic Journal of Differential Equations (EJDE) 2 Publications of the Mathematics Research Center, The University of Wisconsin - Madison 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Illinois Journal of Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Advances in Mathematical Sciences and Applications 1 Calculus of Variations and Partial Differential Equations 1 Journal of Evolution Equations 1 Pitman Research Notes in Mathematics Series all top 5 Fields 71 Partial differential equations (35-XX) 29 Operator theory (47-XX) 18 Ordinary differential equations (34-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 7 Numerical analysis (65-XX) 5 Functional analysis (46-XX) 4 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 11,018 times in 7,886 Documents Cited by ▼ Year ▼ User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015 Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis 2,239 1992 Bifurcation from simple eigenvalues. Zbl 0219.46015 Crandall, M. G.; Rabinowitz, P. H. 1,152 1971 Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024 Crandall, Michael G.; Lions, Pierre-Louis 1,017 1983 Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038 Crandall, M. G.; Liggett, T. M. 480 1971 Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044 Crandall, Michael G.; Rabinowitz, Paul H. 472 1973 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031 Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 456 1977 Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011 Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis 448 1984 Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050 Aronson, Donald; Crandall, Michael G.; Peletier, L. A. 252 1982 Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057 Crandall, Michael G.; Rabinowitz, Paul H. 224 1975 Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076 Crandall, M. G.; Lions, Pierre-Louis 207 1984 A tour of the theory of absolutely minimizing functions. Zbl 1150.35047 Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri 198 2004 On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032 Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A. 192 1996 A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077 Benilan, Philippe; Brézis, Haïm; Crandall, Michael G. 179 1975 Nonlinear evolution equations in Banach spaces. Zbl 0249.34049 Crandall, M. G.; Pazy, A. 151 1972 Monotone difference approximations for scalar conservation laws. Zbl 0423.65052 Crandall, Michael G.; Majda, Andrew 151 1980 On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030 Amann, Herbert; Crandall, Michael G. 132 1978 Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501 Brézis, Haïm; Crandall, M. G.; Pazy, A. 130 1970 The continuous dependence on phi of solutions of \(u_ t-\)Deltaphi(u)=0. Zbl 0482.35012 Benilan, Philippe; Crandall, Michael G. 130 1981 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019 Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 129 2001 Semi-groups of nonlinear contractions and dissipative sets. Zbl 0182.18903 Crandall, M. G.; Pazy, A. 128 1969 Solutions of the porous medium equation in \({\mathbb{R}}^ N\) under optimal conditions on initial values. Zbl 0552.35045 Bénilan, Phillipe; Crandall, Michael G.; Pierre, Michel 120 1984 The Hopf bifurcation theorem in infinite dimensions. Zbl 0385.34020 Crandall, Michael G.; Rabinowitz, Paul H. 114 1977 Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\). Zbl 0408.35054 Brézis, Haïm; Crandall, Michael G. 110 1979 Some relations between nonexpansive and order preserving mappings. Zbl 0449.47059 Crandall, Michael G.; Tartar, Luc 91 1980 \(L^p\)-theory for fully nonlinear uniformly parabolic equations. Zbl 0973.35097 Crandall, M. G.; Kocan, M.; Świȩch, A. 85 2000 The semigroup approach to first order quasilinear equations in several space variables. Zbl 0246.35018 Crandall, Michael G. 84 1972 Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013 Crandall, Michael G.; Lions, Pierre-Louis 79 1985 Regularizing effects of homogeneous evolution equations. Zbl 0556.35067 Bénilan, Philippe; Crandall, Michael G. 74 1981 Completely accretive operators. Zbl 0895.47036 Benilan, Ph.; Crandall, M. G. 73 1991 Viscosity solutions: A primer. Zbl 0901.49026 Crandall, Michael G. 70 1997 Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021 Crandall, Michael G.; Lions, Pierre-Louis 65 1986 An introduction to evolution governed by accretive operators. Zbl 0339.35049 Crandall, Michael G. 59 1976 A visit with the \(\infty\)-Laplace equation. Zbl 1357.49112 Crandall, Michael G. 56 2008 Nonlinear Sturm-Liouville eigenvalue problems and topological degree. Zbl 0206.09705 Crandall, M. G.; Rabinowitz, P. H. 55 1970 The method of fractional steps for conservation laws. Zbl 0438.65076 Crandall, Michael; Majda, Andrew 53 1980 An abstract functional differential equation and a related nonlinear Volterra equation. Zbl 0373.34035 Crandall, M. G.; Nohel, J. A. 52 1978 On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators. Zbl 0351.34037 Crandall, Michael G.; Evans, L. C. 52 1975 On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016 Crandall, Michael G.; Lions, Pierre-Louis 52 1986 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV: Hamiltonians with unbounded linear terms. Zbl 0739.49016 Crandall, Michael G.; Lions, P. L. 51 1990 Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). Zbl 0483.35076 Crandall, Michael; Pierre, Michel 49 1982 Nonlinear semigroups and evolution governed by accretive operators. Zbl 0637.47039 Crandall, Michael G. 48 1986 An abstract nonlinear Volterra integrodifferential equation. Zbl 0395.45023 Crandall, M. G.; Londen, S.-O.; Nohel, J. A. 46 1978 Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Zbl 0927.35029 Crandall, M. G.; Kocan, M.; Lions, P. L.; Świȩch, A. 44 1999 The maximum principle for semicontinuous functions. Zbl 0723.35015 Crandall, Michael G.; Ishii, Hitoshi 43 1990 Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions. Zbl 0652.35043 Benilan, Philippe; Crandall, Michael G.; Sacks, Paul 43 1988 Hamilton-Jacobi equations in infinite dimensions. III. Zbl 0739.49015 Crandall, Michael G.; Lions, Pierre-Louis 42 1986 Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Zbl 0644.35016 Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis 42 1987 A generalization of Peano’s existence theorem and flow invariance. Zbl 0271.34084 Crandall, Michael G. 39 1972 Condition d’unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre. Zbl 0469.49023 Crandall, Michael G.; Lions, Pierre-Louis 36 1981 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V: Unbounded linear terms and \(B\)-continuous solutions. Zbl 0739.49017 Crandall, Michael G.; Lions, P. L. 36 1991 A generalized domain for semigroup generators. Zbl 0285.47044 Crandall, Michael G. 34 1973 An efficient derivation of the Aronsson equation. Zbl 1090.35067 Crandall, Michael G. 31 2003 “Bonnes solutions” d’un problème d’évolution semi-linéaire. (“Mild solutions” of a semilinear evolution problem). Zbl 0635.34013 Bénilan, Philippe; Crandall, Michael G.; Pazy, Amnon 30 1988 A remark on infinity harmonic functions. Zbl 0964.35061 Crandall, Michael G.; Evans, L. C. 30 2001 Uniqueness of \(\infty\)-harmonic functions and the eikonal equation. Zbl 1135.35048 Crandall, Michael G.; Gunnarsson, Gunnar; Wang, Peiyong 29 2007 Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations. Zbl 0678.35009 Crandall, Michael G.; Lions, Pierre-Louis 29 1987 Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067 Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E. 28 1989 Hamilton-Jacobi equations in infinite dimensions. VI: Nonlinear \(A\) and Tataru’s method refined. Zbl 0793.35118 Crandall, M. G.; Lions, P. L. 27 1993 Convergent difference schemes for nonlinear parabolic equations and mean curvature motion. Zbl 0874.65066 Crandall, Michael G.; Lions, Pierre-Louis 25 1996 On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Zbl 0885.35031 Crandall, M. G.; Kocan, M.; Soravia, P.; Świȩch, A. 24 1996 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. VII: The HJB equation is not always satisfied. Zbl 0874.49025 Crandall, M. G.; Lions, P. L. 24 1994 Differential equations on convex sets. Zbl 0224.34006 Crandall, Michael G. 22 1970 On the differentiability of weak solutions of a differential equation in Banach space. Zbl 0177.42901 Crandall, M. G.; Pazy, A. 19 1969 On the range of accretive operators. Zbl 0355.47039 Crandall, Michael G.; Pazy, Amnon 18 1977 Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order. Zbl 0734.35033 Crandall, Michael G. 18 1989 Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024 Caffarelli, Luis A.; Crandall, Michael G. 17 2010 Derivation of the Aronsson equation for \(C^1\) Hamiltonians. Zbl 1161.49020 Crandall, Michael G.; Wang, Changyou; Yu, Yifeng 16 2009 On the extension problem for dissipative operators. Zbl 0167.13404 Crandall, M. G.; Phillips, R. S. 16 1968 Viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0575.35008 Crandall, Michael G.; Newcomb, Richard 16 1985 Remarks on nonlinear uniformly parabolic equations. Zbl 0933.35091 Crandall, M. G.; Fok, K.; Kocan, M.; Świȩch, A. 15 1998 Regularizing effects for \(u_t=\Delta \phi(u)\). Zbl 0508.35043 Crandall, Michael G.; Pierre, Michel 15 1982 On accretive sets in Banach spaces. Zbl 0198.18503 Crandall, M. G.; Pazy, A. 15 1970 Remarks on generators of analytic semigroups. Zbl 0436.47028 Crandall, M. G.; Pazy, A.; Tartar, L. 14 1979 Convexity criteria and uniqueness of absolutely minimizing functions. Zbl 1223.49002 Armstrong, Scott N.; Crandall, Michael G.; Julin, Vesa; Smart, Charles K. 14 2011 Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038 Crandall, Michael G.; Souganidis, Panagiotis E. 14 1986 A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037 Crandall, Michael G.; Liggett, Thomas M. 13 1971 Another way to say caloric. Zbl 1052.35012 Crandall, Michael G.; Wang, Pei-Yong 12 2003 Norm preserving extensions of linear transformations on Hilbert spaces. Zbl 0175.43101 Crandall, M. G. 12 1969 A note on generalized maximum principles for elliptic and parabolic PDE. Zbl 1039.35024 Crandall, M. G.; Świȩch, A. 11 2003 Semigroups of nonlinear transformations in Banach spaces. Zbl 0268.47066 Crandall, Michael G. 10 1971 Another way to say harmonic. Zbl 1112.35319 Crandall, Michael G.; Zhang, Jianying 10 2003 Quadratic growth of solutions of fully nonlinear second order equations in \({\mathbb{R}{}}^ n\). Zbl 0735.35073 Crandall, Michael G.; Lions, P. L. 8 1990 On partial sup-convolutions, a lemma of P. L. Lions and viscosity solutions in Hilbert spaces. Zbl 0820.35036 Crandall, M. G.; Kocan, M.; Swiech, A. 8 1994 Mathematical theory of bifurcation. Zbl 0445.34002 Crandall, Michael G.; Rabinowitz, Paul H. 7 1980 Solutions de viscosité non bornées des équations de Hamilton-Jacobi du premier ordre. Zbl 0565.49022 Crandall, Michael G.; Lions, Pierre-Louis 7 1984 A singular semilinear equation in \(L^1(R)\). Zbl 0349.34018 Crandall, Michael G.; Evans, Lawrence C. 7 1977 Two families of periodic solutions of the plane four-body problem. Zbl 0189.24603 Crandall, Michael G. 7 1967 On nonlinear equations of evolution. Zbl 0686.47048 Crandall, Michael G.; Souganidis, Panagiotis E. 6 1989 Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in \(R^ N\). Zbl 0705.35044 Crandall, Michael G.; Newcomb, Richard T. II; Tomita, Yoshihito 5 1989 An approximation of integrable functions by step functions with an application. Zbl 0415.41009 Crandall, M. G.; Pazy, A. 4 1979 Solutions de viscosité pour les équations de Hamilton-Jacobi dans des espaces de Banach. (Viscosity solutions of Hamilton-Jacobi equations in Banach spaces). Zbl 0588.35018 Crandall, Michael G.; Lions, Pierre-Louis 3 1985 Developments in the theory of nonlinear first-order partial differential equations. Zbl 0564.35011 Crandall, Michael G.; Souganidis, Panagiotis E. 3 1984 Boundary value problems for symmetric positive differential operators of odd order. Zbl 0157.40902 Crandall, M. G. 2 1968 Relations between geometric convexity, doubling measures and property \(\Gamma\). Zbl 1307.46006 Caffarelli, Luis A.; Crandall, Michael G. 2 2014 A remark on semilinear perturbations of abstract parabolic equations. Zbl 0626.35044 Crandall, Michael G. 2 1985 The principle of exchange of stability. Zbl 0537.34044 Crandall, Michael G.; Rabinowitz, Paul H. 2 1977 Nonlinear evolution equations. Proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin-Madison, October 17-19, 1977. Zbl 0456.00016 1 1978 On nonuniqueness of viscosity solutions. Zbl 0758.34013 Crandall, Michael G.; Huan, Zhongdan 1 1992 Multiple solutions of a nonlinear integral equation. Zbl 0194.14001 Crandall, M. G.; Rabinowitz, P. H. 1 1970 Semi-groups of contractions and monotonicity. Zbl 0193.10903 Crandall, M. G. 1 1970 Relations between geometric convexity, doubling measures and property \(\Gamma\). Zbl 1307.46006 Caffarelli, Luis A.; Crandall, Michael G. 2 2014 The problem of two sticks. Zbl 1257.46009 Caffarelli, Luis A.; Crandall, Michael G. 1 2012 Convexity criteria and uniqueness of absolutely minimizing functions. Zbl 1223.49002 Armstrong, Scott N.; Crandall, Michael G.; Julin, Vesa; Smart, Charles K. 14 2011 Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024 Caffarelli, Luis A.; Crandall, Michael G. 17 2010 Derivation of the Aronsson equation for \(C^1\) Hamiltonians. Zbl 1161.49020 Crandall, Michael G.; Wang, Changyou; Yu, Yifeng 16 2009 A visit with the \(\infty\)-Laplace equation. Zbl 1357.49112 Crandall, Michael G. 56 2008 Uniqueness of \(\infty\)-harmonic functions and the eikonal equation. Zbl 1135.35048 Crandall, Michael G.; Gunnarsson, Gunnar; Wang, Peiyong 29 2007 A tour of the theory of absolutely minimizing functions. Zbl 1150.35047 Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri 198 2004 An efficient derivation of the Aronsson equation. Zbl 1090.35067 Crandall, Michael G. 31 2003 Another way to say caloric. Zbl 1052.35012 Crandall, Michael G.; Wang, Pei-Yong 12 2003 A note on generalized maximum principles for elliptic and parabolic PDE. Zbl 1039.35024 Crandall, M. G.; Świȩch, A. 11 2003 Another way to say harmonic. Zbl 1112.35319 Crandall, Michael G.; Zhang, Jianying 10 2003 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019 Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 129 2001 A remark on infinity harmonic functions. Zbl 0964.35061 Crandall, Michael G.; Evans, L. C. 30 2001 \(L^p\)-theory for fully nonlinear uniformly parabolic equations. Zbl 0973.35097 Crandall, M. G.; Kocan, M.; Świȩch, A. 85 2000 Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Zbl 0927.35029 Crandall, M. G.; Kocan, M.; Lions, P. L.; Świȩch, A. 44 1999 Remarks on nonlinear uniformly parabolic equations. Zbl 0933.35091 Crandall, M. G.; Fok, K.; Kocan, M.; Świȩch, A. 15 1998 Viscosity solutions: A primer. Zbl 0901.49026 Crandall, Michael G. 70 1997 On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032 Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A. 192 1996 Convergent difference schemes for nonlinear parabolic equations and mean curvature motion. Zbl 0874.65066 Crandall, Michael G.; Lions, Pierre-Louis 25 1996 On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Zbl 0885.35031 Crandall, M. G.; Kocan, M.; Soravia, P.; Świȩch, A. 24 1996 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. VII: The HJB equation is not always satisfied. Zbl 0874.49025 Crandall, M. G.; Lions, P. L. 24 1994 On partial sup-convolutions, a lemma of P. L. Lions and viscosity solutions in Hilbert spaces. Zbl 0820.35036 Crandall, M. G.; Kocan, M.; Swiech, A. 8 1994 Hamilton-Jacobi equations in infinite dimensions. VI: Nonlinear \(A\) and Tataru’s method refined. Zbl 0793.35118 Crandall, M. G.; Lions, P. L. 27 1993 User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015 Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis 2,239 1992 On nonuniqueness of viscosity solutions. Zbl 0758.34013 Crandall, Michael G.; Huan, Zhongdan 1 1992 Completely accretive operators. Zbl 0895.47036 Benilan, Ph.; Crandall, M. G. 73 1991 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V: Unbounded linear terms and \(B\)-continuous solutions. Zbl 0739.49017 Crandall, Michael G.; Lions, P. L. 36 1991 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV: Hamiltonians with unbounded linear terms. Zbl 0739.49016 Crandall, Michael G.; Lions, P. L. 51 1990 The maximum principle for semicontinuous functions. Zbl 0723.35015 Crandall, Michael G.; Ishii, Hitoshi 43 1990 Quadratic growth of solutions of fully nonlinear second order equations in \({\mathbb{R}{}}^ n\). Zbl 0735.35073 Crandall, Michael G.; Lions, P. L. 8 1990 Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067 Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E. 28 1989 Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order. Zbl 0734.35033 Crandall, Michael G. 18 1989 On nonlinear equations of evolution. Zbl 0686.47048 Crandall, Michael G.; Souganidis, Panagiotis E. 6 1989 Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in \(R^ N\). Zbl 0705.35044 Crandall, Michael G.; Newcomb, Richard T. II; Tomita, Yoshihito 5 1989 Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions. Zbl 0652.35043 Benilan, Philippe; Crandall, Michael G.; Sacks, Paul 43 1988 “Bonnes solutions” d’un problème d’évolution semi-linéaire. (“Mild solutions” of a semilinear evolution problem). Zbl 0635.34013 Bénilan, Philippe; Crandall, Michael G.; Pazy, Amnon 30 1988 Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Zbl 0644.35016 Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis 42 1987 Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations. Zbl 0678.35009 Crandall, Michael G.; Lions, Pierre-Louis 29 1987 Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021 Crandall, Michael G.; Lions, Pierre-Louis 65 1986 On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016 Crandall, Michael G.; Lions, Pierre-Louis 52 1986 Nonlinear semigroups and evolution governed by accretive operators. Zbl 0637.47039 Crandall, Michael G. 48 1986 Hamilton-Jacobi equations in infinite dimensions. III. Zbl 0739.49015 Crandall, Michael G.; Lions, Pierre-Louis 42 1986 Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038 Crandall, Michael G.; Souganidis, Panagiotis E. 14 1986 Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013 Crandall, Michael G.; Lions, Pierre-Louis 79 1985 Viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0575.35008 Crandall, Michael G.; Newcomb, Richard 16 1985 Solutions de viscosité pour les équations de Hamilton-Jacobi dans des espaces de Banach. (Viscosity solutions of Hamilton-Jacobi equations in Banach spaces). Zbl 0588.35018 Crandall, Michael G.; Lions, Pierre-Louis 3 1985 A remark on semilinear perturbations of abstract parabolic equations. Zbl 0626.35044 Crandall, Michael G. 2 1985 Viscosity solutions of Hamilton-Jacobi equations in Banach spaces. Zbl 0618.35010 Crandall, Michael G.; Lions, Pierre-Louis 1 1985 Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011 Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis 448 1984 Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076 Crandall, M. G.; Lions, Pierre-Louis 207 1984 Solutions of the porous medium equation in \({\mathbb{R}}^ N\) under optimal conditions on initial values. Zbl 0552.35045 Bénilan, Phillipe; Crandall, Michael G.; Pierre, Michel 120 1984 Solutions de viscosité non bornées des équations de Hamilton-Jacobi du premier ordre. Zbl 0565.49022 Crandall, Michael G.; Lions, Pierre-Louis 7 1984 Developments in the theory of nonlinear first-order partial differential equations. Zbl 0564.35011 Crandall, Michael G.; Souganidis, Panagiotis E. 3 1984 Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024 Crandall, Michael G.; Lions, Pierre-Louis 1,017 1983 Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050 Aronson, Donald; Crandall, Michael G.; Peletier, L. A. 252 1982 Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). Zbl 0483.35076 Crandall, Michael; Pierre, Michel 49 1982 Regularizing effects for \(u_t=\Delta \phi(u)\). Zbl 0508.35043 Crandall, Michael G.; Pierre, Michel 15 1982 Viscosity solutions of Hamilton-Jacobi equations. Zbl 0493.70030 Crandall, Michael G. 1 1982 The continuous dependence on phi of solutions of \(u_ t-\)Deltaphi(u)=0. Zbl 0482.35012 Benilan, Philippe; Crandall, Michael G. 130 1981 Regularizing effects of homogeneous evolution equations. Zbl 0556.35067 Bénilan, Philippe; Crandall, Michael G. 74 1981 Condition d’unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre. Zbl 0469.49023 Crandall, Michael G.; Lions, Pierre-Louis 36 1981 Monotone difference approximations for scalar conservation laws. Zbl 0423.65052 Crandall, Michael G.; Majda, Andrew 151 1980 Some relations between nonexpansive and order preserving mappings. Zbl 0449.47059 Crandall, Michael G.; Tartar, Luc 91 1980 The method of fractional steps for conservation laws. Zbl 0438.65076 Crandall, Michael; Majda, Andrew 53 1980 Mathematical theory of bifurcation. Zbl 0445.34002 Crandall, Michael G.; Rabinowitz, Paul H. 7 1980 Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\). Zbl 0408.35054 Brézis, Haïm; Crandall, Michael G. 110 1979 Remarks on generators of analytic semigroups. Zbl 0436.47028 Crandall, M. G.; Pazy, A.; Tartar, L. 14 1979 An approximation of integrable functions by step functions with an application. Zbl 0415.41009 Crandall, M. G.; Pazy, A. 4 1979 On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030 Amann, Herbert; Crandall, Michael G. 132 1978 An abstract functional differential equation and a related nonlinear Volterra equation. Zbl 0373.34035 Crandall, M. G.; Nohel, J. A. 52 1978 An abstract nonlinear Volterra integrodifferential equation. Zbl 0395.45023 Crandall, M. G.; Londen, S.-O.; Nohel, J. A. 46 1978 Nonlinear evolution equations. Proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin-Madison, October 17-19, 1977. Zbl 0456.00016 1 1978 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031 Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 456 1977 The Hopf bifurcation theorem in infinite dimensions. Zbl 0385.34020 Crandall, Michael G.; Rabinowitz, Paul H. 114 1977 On the range of accretive operators. Zbl 0355.47039 Crandall, Michael G.; Pazy, Amnon 18 1977 A singular semilinear equation in \(L^1(R)\). Zbl 0349.34018 Crandall, Michael G.; Evans, Lawrence C. 7 1977 The principle of exchange of stability. Zbl 0537.34044 Crandall, Michael G.; Rabinowitz, Paul H. 2 1977 An introduction to evolution governed by accretive operators. Zbl 0339.35049 Crandall, Michael G. 59 1976 Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057 Crandall, Michael G.; Rabinowitz, Paul H. 224 1975 A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077 Benilan, Philippe; Brézis, Haïm; Crandall, Michael G. 179 1975 On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators. Zbl 0351.34037 Crandall, Michael G.; Evans, L. C. 52 1975 Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044 Crandall, Michael G.; Rabinowitz, Paul H. 472 1973 A generalized domain for semigroup generators. Zbl 0285.47044 Crandall, Michael G. 34 1973 Nonlinear evolution equations in Banach spaces. Zbl 0249.34049 Crandall, M. G.; Pazy, A. 151 1972 The semigroup approach to first order quasilinear equations in several space variables. Zbl 0246.35018 Crandall, Michael G. 84 1972 A generalization of Peano’s existence theorem and flow invariance. Zbl 0271.34084 Crandall, Michael G. 39 1972 Bifurcation from simple eigenvalues. Zbl 0219.46015 Crandall, M. G.; Rabinowitz, P. H. 1,152 1971 Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038 Crandall, M. G.; Liggett, T. M. 480 1971 A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037 Crandall, Michael G.; Liggett, Thomas M. 13 1971 Semigroups of nonlinear transformations in Banach spaces. Zbl 0268.47066 Crandall, Michael G. 10 1971 Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501 Brézis, Haïm; Crandall, M. G.; Pazy, A. 130 1970 Nonlinear Sturm-Liouville eigenvalue problems and topological degree. Zbl 0206.09705 Crandall, M. G.; Rabinowitz, P. H. 55 1970 Differential equations on convex sets. Zbl 0224.34006 Crandall, Michael G. 22 1970 On accretive sets in Banach spaces. Zbl 0198.18503 Crandall, M. G.; Pazy, A. 15 1970 Multiple solutions of a nonlinear integral equation. Zbl 0194.14001 Crandall, M. G.; Rabinowitz, P. H. 1 1970 Semi-groups of contractions and monotonicity. Zbl 0193.10903 Crandall, M. G. 1 1970 Semi-groups of nonlinear contractions and dissipative sets. Zbl 0182.18903 Crandall, M. G.; Pazy, A. 128 1969 On the differentiability of weak solutions of a differential equation in Banach space. Zbl 0177.42901 Crandall, M. G.; Pazy, A. 19 1969 Norm preserving extensions of linear transformations on Hilbert spaces. Zbl 0175.43101 Crandall, M. G. 12 1969 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,621 Authors 72 Vazquez, Juan Luis 65 Rossi, Julio Daniel 57 Lions, Pierre-Louis 54 Shi, Junping 52 Ishii, Hitoshi 52 Wu, Jianhua 48 López-Gómez, Julián 48 Souganidis, Panagiotis E. 42 Crandall, Michael G. 40 Barles, Guy 36 Díaz Díaz, Jesús Ildefonso 34 Perthame, Benoît 33 Mazón Ruiz, José M. 33 Quaas, Alexander 33 Świȩch, Andrzej 31 Giga, Yoshikazu 30 Reich, Simeon 29 Barbu, Viorel 29 Li, Shanbing 26 Cardaliaguet, Pierre 26 Nie, Hua 26 Soner, Halil Mete 26 Vitolo, Antonio 25 Jakobsen, Espen Robstad 24 Agarwal, Ravi P. 24 Krylov, Nicolaĭ Vladimirovich 24 Osher, Stanley Joel 24 Wong, Patricia J. Y. 23 Cannarsa, Piermarco 23 Kartsatos, Athanassios G. 23 Katzourakis, Nikolaos I. 23 Manfredi, Juan J. 21 Birindelli, Isabeau 21 Bonforte, Matteo 21 Capuzzo Dolcetta, Italo 21 Monneau, Régis 21 Sirakov, Boyan Slavchev 20 da Silva, João Vítor 20 Frankowska, Hélène 20 Gozzi, Fausto 20 Suárez, Antonio 20 Tran Vinh Hung 20 Yoshioka, Hidekazu 20 Zhang, Jianfeng 19 Armstrong, Scott N. 19 Barron, Emmanuel Nicholas 19 Bayraktar, Erhan 19 Caselles Costa, Vicent 19 Evans, Lawrence Craig 19 Kim, Inwon Christina 19 Peletier, Lambertus Adrianus 19 Punzo, Fabio 19 Santos, Carlos Alberto P. 19 Touzi, Nizar 19 Zhang, Zhijun 18 Garain, Prashanta 18 Giacomoni, Jacques 18 Karlsen, Kenneth Hvistendahl 18 Mitake, Hiroyoshi 18 Rădulescu, Vicenţiu D. 18 Teixeira, Eduardo V. O. 18 Wang, Qi 17 Akagi, Goro 17 Bardi, Martino 17 Bertsch, Michiel 17 Buckdahn, Rainer 17 Koike, Shigeaki 17 Korman, Philip L. 17 Li, Juan 17 Tanaka, Naoki 17 Tesei, Alberto 16 Andreu, Fuensanta 16 Bouchard, Bruno 16 Dong, Yaying 16 Feng, Xiaobing 16 Igbida, Noureddine 16 Jia, Yunfeng 16 Kuto, Kousuke 16 Mohammed, Ahmed 16 Peng, Shige 16 Peral Alonso, Ireneo 16 Quirós Gracián, Fernando 16 Risebro, Nils Henrik 16 Röckner, Michael 16 Sciunzi, Berardino 16 Shu, Chi-Wang 16 Sreenadh, Konijeti 16 Topp, Erwin 15 Caffarelli, Luis Ángel 15 Charro, Fernando 15 Hu, Bei 15 Liu, Qing 15 Qian, Jianliang 15 Saoudi, Kamel 15 Smart, Charles K. 15 Wang, Hao 15 Wang, Mingxin 15 Webb, Glenn Francis 15 Yan, Jun 15 Yu, Yifeng ...and 6,521 more Authors all top 5 Cited in 607 Serials 511 Journal of Differential Equations 436 Journal of Mathematical Analysis and Applications 384 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 279 Nonlinear Analysis. 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