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 1,188 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 102 Publications have been cited 9,945 times in 7,162 Documents Cited by ▼ Year ▼ User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis 2,008 1992 Bifurcation from simple eigenvalues. Zbl 0219.46015Crandall, M. G.; Rabinowitz, P. H. 1,031 1971 Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024Crandall, Michael G.; Lions, Pierre-Louis 912 1983 Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038Crandall, M. G.; Liggett, T. M. 456 1971 Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044Crandall, Michael G.; Rabinowitz, Paul H. 435 1973 Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis 411 1984 On a Dirichlet problem with a singular nonlinearity. Zbl 0362.35031Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 406 1977 Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050Aronson, Donald; Crandall, Michael G.; Peletier, L. A. 246 1982 Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057Crandall, Michael G.; Rabinowitz, Paul H. 215 1975 A tour of the theory of absolutely minimizing functions. Zbl 1150.35047Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri 180 2004 Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076Crandall, M. G.; Lions, Pierre-Louis 177 1984 On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A. 174 1996 A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077Benilan, Philippe; Brézis, Haïm; Crandall, Michael G. 162 1975 Nonlinear evolution equations in Banach spaces. Zbl 0249.34049Crandall, M. G.; Pazy, A. 141 1972 Monotone difference approximations for scalar conservation laws. Zbl 0423.65052Crandall, Michael G.; Majda, Andrew 140 1980 Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501Brézis, Haïm; Crandall, M. G.; Pazy, A. 126 1970 On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030Amann, Herbert; Crandall, Michael G. 122 1978 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 121 2001 Semi-groups of nonlinear contractions and dissipative sets. Zbl 0182.18903Crandall, M. G.; Pazy, A. 120 1969 The continuous dependence on phi of solutions of \(u_ t-\)Deltaphi(u)=0. Zbl 0482.35012Benilan, Philippe; Crandall, Michael G. 111 1981 Solutions of the porous medium equation in \({\mathbb{R}}^ N\) under optimal conditions on initial values. Zbl 0552.35045Bénilan, Phillipe; Crandall, Michael G.; Pierre, Michel 108 1984 The Hopf bifurcation theorem in infinite dimensions. Zbl 0385.34020Crandall, Michael G.; Rabinowitz, Paul H. 104 1977 Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\). Zbl 0408.35054Brézis, Haïm; Crandall, Michael G. 98 1979 Some relations between nonexpansive and order preserving mappings. Zbl 0449.47059Crandall, Michael G.; Tartar, Luc 83 1980 The semigroup approach to first order quasilinear equations in several space variables. Zbl 0246.35018Crandall, Michael G. 81 1972 \(L^p\)-theory for fully nonlinear uniformly parabolic equations. Zbl 0973.35097Crandall, M. G.; Kocan, M.; Świȩch, A. 71 2000 Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013Crandall, Michael G.; Lions, Pierre-Louis 69 1985 Completely accretive operators. Zbl 0895.47036Benilan, Ph.; Crandall, M. G. 63 1991 Viscosity solutions: A primer. Zbl 0901.49026Crandall, Michael G. 59 1997 Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021Crandall, Michael G.; Lions, Pierre-Louis 56 1986 Nonlinear Sturm-Liouville eigenvalue problems and topological degree. Zbl 0206.09705Crandall, M. G.; Rabinowitz, P. H. 54 1970 On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016Crandall, Michael G.; Lions, Pierre-Louis 50 1986 An abstract functional differential equation and a related nonlinear Volterra equation. Zbl 0373.34035Crandall, M. G.; Nohel, J. A. 50 1978 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV: Hamiltonians with unbounded linear terms. Zbl 0739.49016Crandall, Michael G.; Lions, P. L. 48 1990 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. 48 1975 The method of fractional steps for conservation laws. Zbl 0438.65076Crandall, Michael; Majda, Andrew 47 1980 Nonlinear semigroups and evolution governed by accretive operators. Zbl 0637.47039Crandall, Michael G. 46 1986 An abstract nonlinear Volterra integrodifferential equation. Zbl 0395.45023Crandall, M. G.; Londen, S.-O.; Nohel, J. A. 44 1978 A visit with the \(\infty\)-Laplace equation. Zbl 1357.49112Crandall, Michael G. 43 2008 Some \(L^ 1\) existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions. Zbl 0652.35043Benilan, Philippe; Crandall, Michael G.; Sacks, Paul 42 1988 The maximum principle for semicontinuous functions. Zbl 0723.35015Crandall, Michael G.; Ishii, Hitoshi 41 1990 Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Zbl 0927.35029Crandall, M. G.; Kocan, M.; Lions, P. L.; Świȩch, A. 41 1999 Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Zbl 0644.35016Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis 39 1987 A generalization of Peano’s existence theorem and flow invariance. Zbl 0271.34084Crandall, Michael G. 39 1972 Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). Zbl 0483.35076Crandall, Michael; Pierre, Michel 37 1982 Hamilton-Jacobi equations in infinite dimensions. III. Zbl 0739.49015Crandall, Michael G.; Lions, Pierre-Louis 37 1986 Condition d’unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre. Zbl 0469.49023Crandall, Michael G.; Lions, Pierre-Louis 34 1981 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V: Unbounded linear terms and \(B\)-continuous solutions. Zbl 0739.49017Crandall, Michael G.; Lions, P. L. 34 1991 A generalized domain for semigroup generators. Zbl 0285.47044Crandall, Michael G. 33 1973 “Bonnes solutions” d’un problème d’évolution semi-linéaire. (“Mild solutions” of a semilinear evolution problem). Zbl 0635.34013Bénilan, Philippe; Crandall, Michael G.; Pazy, Amnon 29 1988 An efficient derivation of the Aronsson equation. Zbl 1090.35067Crandall, Michael G. 29 2003 Regularizing effects of homogeneous evolution equations. Zbl 0556.35067Bénilan, Philippe; Crandall, Michael G. 28 1981 Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations. Zbl 0678.35009Crandall, Michael G.; Lions, Pierre-Louis 27 1987 Uniqueness of \(\infty\)-harmonic functions and the eikonal equation. Zbl 1135.35048Crandall, Michael G.; Gunnarsson, Gunnar; Wang, Peiyong 27 2007 Hamilton-Jacobi equations in infinite dimensions. VI: Nonlinear \(A\) and Tataru’s method refined. Zbl 0793.35118Crandall, M. G.; Lions, P. L. 26 1993 An introduction to evolution governed by accretive operators. Zbl 0339.35049Crandall, Michael G. 25 1976 Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E. 24 1989 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. VII: The HJB equation is not always satisfied. Zbl 0874.49025Crandall, M. G.; Lions, P. L. 24 1994 A remark on infinity harmonic functions. Zbl 0964.35061Crandall, Michael G.; Evans, L. C. 24 2001 Convergent difference schemes for nonlinear parabolic equations and mean curvature motion. Zbl 0874.65066Crandall, Michael G.; Lions, Pierre-Louis 22 1996 On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Zbl 0885.35031Crandall, M. G.; Kocan, M.; Soravia, P.; Świȩch, A. 22 1996 Differential equations on convex sets. Zbl 0224.34006Crandall, Michael G. 21 1970 On the differentiability of weak solutions of a differential equation in Banach space. Zbl 0177.42901Crandall, M. G.; Pazy, A. 18 1969 On the range of accretive operators. Zbl 0355.47039Crandall, Michael G.; Pazy, Amnon 18 1977 Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024Caffarelli, Luis A.; Crandall, Michael G. 17 2010 Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order. Zbl 0734.35033Crandall, Michael G. 16 1989 Derivation of the Aronsson equation for \(C^1\) Hamiltonians. Zbl 1161.49020Crandall, Michael G.; Wang, Changyou; Yu, Yifeng 15 2009 Remarks on nonlinear uniformly parabolic equations. Zbl 0933.35091Crandall, M. G.; Fok, K.; Kocan, M.; Świȩch, A. 15 1998 On accretive sets in Banach spaces. Zbl 0198.18503Crandall, M. G.; Pazy, A. 15 1970 Viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0575.35008Crandall, Michael G.; Newcomb, Richard 14 1985 On the extension problem for dissipative operators. Zbl 0167.13404Crandall, M. G.; Phillips, R. S. 14 1968 Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038Crandall, Michael G.; Souganidis, Panagiotis E. 13 1986 Remarks on generators of analytic semigroups. Zbl 0436.47028Crandall, M. G.; Pazy, A.; Tartar, L. 13 1979 Convexity criteria and uniqueness of absolutely minimizing functions. Zbl 1223.49002Armstrong, Scott N.; Crandall, Michael G.; Julin, Vesa; Smart, Charles K. 13 2011 Norm preserving extensions of linear transformations on Hilbert spaces. Zbl 0175.43101Crandall, M. G. 12 1969 Another way to say caloric. Zbl 1052.35012Crandall, Michael G.; Wang, Pei-Yong 12 2003 A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037Crandall, Michael G.; Liggett, Thomas M. 11 1971 Regularizing effects for u//t=Delta phi(u). Zbl 0508.35043Crandall, Michael G.; Pierre, Michel 10 1982 Another way to say harmonic. Zbl 1112.35319Crandall, Michael G.; Zhang, Jianying 10 2003 A note on generalized maximum principles for elliptic and parabolic PDE. Zbl 1039.35024Crandall, M. G.; Świȩch, A. 10 2003 Quadratic growth of solutions of fully nonlinear second order equations in \({\mathbb{R}{}}^ n\). Zbl 0735.35073Crandall, Michael G.; Lions, P. L. 8 1990 Solutions de viscosité non bornées des équations de Hamilton-Jacobi du premier ordre. Zbl 0565.49022Crandall, Michael G.; Lions, Pierre-Louis 7 1984 On partial sup-convolutions, a lemma of P. L. Lions and viscosity solutions in Hilbert spaces. Zbl 0820.35036Crandall, M. G.; Kocan, M.; Swiech, A. 7 1994 Two families of periodic solutions of the plane four-body problem. Zbl 0189.24603Crandall, Michael G. 7 1967 A singular semilinear equation in \(L^1(R)\). Zbl 0349.34018Crandall, Michael G.; Evans, Lawrence C. 7 1977 On nonlinear equations of evolution. Zbl 0686.47048Crandall, Michael G.; Souganidis, Panagiotis E. 6 1989 Semigroups of nonlinear transformations in Banach spaces. Zbl 0268.47066Crandall, Michael G. 6 1971 Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in \(R^ N\). Zbl 0705.35044Crandall, Michael G.; Newcomb, Richard T. II; Tomita, Yoshihito 5 1989 An approximation of integrable functions by step functions with an application. Zbl 0415.41009Crandall, 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 0588.35018Crandall, Michael G.; Lions, Pierre-Louis 3 1985 Mathematical theory of bifurcation. Zbl 0445.34002Crandall, Michael G.; Rabinowitz, Paul H. 3 1980 The principle of exchange of stability. Zbl 0537.34044Crandall, Michael G.; Rabinowitz, Paul H. 2 1977 A remark on semilinear perturbations of abstract parabolic equations. Zbl 0626.35044Crandall, Michael G. 2 1985 Boundary value problems for symmetric positive differential operators of odd order. Zbl 0157.40902Crandall, M. G. 2 1968 Relations between geometric convexity, doubling measures and property \(\Gamma\). Zbl 1307.46006Caffarelli, Luis A.; Crandall, Michael G. 2 2014 Developments in the theory of nonlinear first-order partial differential equations. Zbl 0564.35011Crandall, Michael G.; Souganidis, Panagiotis E. 1 1984 Viscosity solutions of Hamilton-Jacobi equations in Banach spaces. Zbl 0618.35010Crandall, Michael G.; Lions, Pierre-Louis 1 1985 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 0758.34013Crandall, Michael G.; Huan, Zhongdan 1 1992 Semi-groups of contractions and monotonicity. Zbl 0193.10903Crandall, M. G. 1 1970 Relations between geometric convexity, doubling measures and property \(\Gamma\). Zbl 1307.46006Caffarelli, Luis A.; Crandall, Michael G. 2 2014 The problem of two sticks. Zbl 1257.46009Caffarelli, Luis A.; Crandall, Michael G. 1 2012 Convexity criteria and uniqueness of absolutely minimizing functions. Zbl 1223.49002Armstrong, Scott N.; Crandall, Michael G.; Julin, Vesa; Smart, Charles K. 13 2011 Distance functions and almost global solutions of eikonal equations. Zbl 1187.35024Caffarelli, Luis A.; Crandall, Michael G. 17 2010 Derivation of the Aronsson equation for \(C^1\) Hamiltonians. Zbl 1161.49020Crandall, Michael G.; Wang, Changyou; Yu, Yifeng 15 2009 A visit with the \(\infty\)-Laplace equation. Zbl 1357.49112Crandall, Michael G. 43 2008 Uniqueness of \(\infty\)-harmonic functions and the eikonal equation. Zbl 1135.35048Crandall, Michael G.; Gunnarsson, Gunnar; Wang, Peiyong 27 2007 A tour of the theory of absolutely minimizing functions. Zbl 1150.35047Aronsson, Gunnar; Crandall, Michael G.; Juutinen, Petri 180 2004 An efficient derivation of the Aronsson equation. Zbl 1090.35067Crandall, Michael G. 29 2003 Another way to say caloric. Zbl 1052.35012Crandall, Michael G.; Wang, Pei-Yong 12 2003 Another way to say harmonic. Zbl 1112.35319Crandall, Michael G.; Zhang, Jianying 10 2003 A note on generalized maximum principles for elliptic and parabolic PDE. Zbl 1039.35024Crandall, M. G.; Świȩch, A. 10 2003 Optimal Lipschitz extensions and the infinity Laplacian. Zbl 0996.49019Crandall, M. G.; Evans, L. C.; Gariepy, R. F. 121 2001 A remark on infinity harmonic functions. Zbl 0964.35061Crandall, Michael G.; Evans, L. C. 24 2001 \(L^p\)-theory for fully nonlinear uniformly parabolic equations. Zbl 0973.35097Crandall, M. G.; Kocan, M.; Świȩch, A. 71 2000 Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations. Zbl 0927.35029Crandall, M. G.; Kocan, M.; Lions, P. L.; Świȩch, A. 41 1999 Remarks on nonlinear uniformly parabolic equations. Zbl 0933.35091Crandall, M. G.; Fok, K.; Kocan, M.; Świȩch, A. 15 1998 Viscosity solutions: A primer. Zbl 0901.49026Crandall, Michael G. 59 1997 On viscosity solutions of fully nonlinear equations with measurable ingredients. Zbl 0854.35032Caffarelli, L.; Crandall, M. G.; Kocan, M.; Świȩch, A. 174 1996 Convergent difference schemes for nonlinear parabolic equations and mean curvature motion. Zbl 0874.65066Crandall, Michael G.; Lions, Pierre-Louis 22 1996 On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients. Zbl 0885.35031Crandall, M. G.; Kocan, M.; Soravia, P.; Świȩch, A. 22 1996 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. VII: The HJB equation is not always satisfied. Zbl 0874.49025Crandall, M. G.; Lions, P. L. 24 1994 On partial sup-convolutions, a lemma of P. L. Lions and viscosity solutions in Hilbert spaces. Zbl 0820.35036Crandall, M. G.; Kocan, M.; Swiech, A. 7 1994 Hamilton-Jacobi equations in infinite dimensions. VI: Nonlinear \(A\) and Tataru’s method refined. Zbl 0793.35118Crandall, M. G.; Lions, P. L. 26 1993 User’s guide to viscosity solutions of second order partial differential equations. Zbl 0755.35015Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis 2,008 1992 On nonuniqueness of viscosity solutions. Zbl 0758.34013Crandall, Michael G.; Huan, Zhongdan 1 1992 Completely accretive operators. Zbl 0895.47036Benilan, Ph.; Crandall, M. G. 63 1991 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V: Unbounded linear terms and \(B\)-continuous solutions. Zbl 0739.49017Crandall, Michael G.; Lions, P. L. 34 1991 Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV: Hamiltonians with unbounded linear terms. Zbl 0739.49016Crandall, Michael G.; Lions, P. L. 48 1990 The maximum principle for semicontinuous functions. Zbl 0723.35015Crandall, Michael G.; Ishii, Hitoshi 41 1990 Quadratic growth of solutions of fully nonlinear second order equations in \({\mathbb{R}{}}^ n\). Zbl 0735.35073Crandall, Michael G.; Lions, P. L. 8 1990 Maximal solutions and universal bounds for some partial differential equations of evolution. Zbl 0706.35067Crandall, Michael G.; Lions, Pierre-Louis; Souganidis, Panagiotis E. 24 1989 Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order. Zbl 0734.35033Crandall, Michael G. 16 1989 On nonlinear equations of evolution. Zbl 0686.47048Crandall, Michael G.; Souganidis, Panagiotis E. 6 1989 Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in \(R^ N\). Zbl 0705.35044Crandall, 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 0652.35043Benilan, Philippe; Crandall, Michael G.; Sacks, Paul 42 1988 “Bonnes solutions” d’un problème d’évolution semi-linéaire. (“Mild solutions” of a semilinear evolution problem). Zbl 0635.34013Bénilan, Philippe; Crandall, Michael G.; Pazy, Amnon 29 1988 Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited. Zbl 0644.35016Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis 39 1987 Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations. Zbl 0678.35009Crandall, Michael G.; Lions, Pierre-Louis 27 1987 Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions. Zbl 0639.49021Crandall, Michael G.; Lions, Pierre-Louis 56 1986 On existence and uniqueness of solutions of Hamilton-Jacobi equations. Zbl 0603.35016Crandall, Michael G.; Lions, Pierre-Louis 50 1986 Nonlinear semigroups and evolution governed by accretive operators. Zbl 0637.47039Crandall, Michael G. 46 1986 Hamilton-Jacobi equations in infinite dimensions. III. Zbl 0739.49015Crandall, Michael G.; Lions, Pierre-Louis 37 1986 Convergence of difference approximations of quasilinear evolution equations. Zbl 0637.47038Crandall, Michael G.; Souganidis, Panagiotis E. 13 1986 Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions. Zbl 0627.49013Crandall, Michael G.; Lions, Pierre-Louis 69 1985 Viscosity solutions of Hamilton-Jacobi equations at the boundary. Zbl 0575.35008Crandall, Michael G.; Newcomb, Richard 14 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 0588.35018Crandall, Michael G.; Lions, Pierre-Louis 3 1985 A remark on semilinear perturbations of abstract parabolic equations. Zbl 0626.35044Crandall, Michael G. 2 1985 Viscosity solutions of Hamilton-Jacobi equations in Banach spaces. Zbl 0618.35010Crandall, Michael G.; Lions, Pierre-Louis 1 1985 Some properties of viscosity solutions of Hamilton-Jacobi equations. Zbl 0543.35011Crandall, M. G.; Evans, L. C.; Lions, Pierre-Louis 411 1984 Two approximations of solutions of Hamilton-Jacobi equations. Zbl 0556.65076Crandall, M. G.; Lions, Pierre-Louis 177 1984 Solutions of the porous medium equation in \({\mathbb{R}}^ N\) under optimal conditions on initial values. Zbl 0552.35045Bénilan, Phillipe; Crandall, Michael G.; Pierre, Michel 108 1984 Solutions de viscosité non bornées des équations de Hamilton-Jacobi du premier ordre. Zbl 0565.49022Crandall, Michael G.; Lions, Pierre-Louis 7 1984 Developments in the theory of nonlinear first-order partial differential equations. Zbl 0564.35011Crandall, Michael G.; Souganidis, Panagiotis E. 1 1984 Viscosity solutions of Hamilton-Jacobi equations. Zbl 0599.35024Crandall, Michael G.; Lions, Pierre-Louis 912 1983 Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050Aronson, Donald; Crandall, Michael G.; Peletier, L. A. 246 1982 Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). Zbl 0483.35076Crandall, Michael; Pierre, Michel 37 1982 Regularizing effects for u//t=Delta phi(u). Zbl 0508.35043Crandall, Michael G.; Pierre, Michel 10 1982 The continuous dependence on phi of solutions of \(u_ t-\)Deltaphi(u)=0. Zbl 0482.35012Benilan, Philippe; Crandall, Michael G. 111 1981 Condition d’unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre. Zbl 0469.49023Crandall, Michael G.; Lions, Pierre-Louis 34 1981 Regularizing effects of homogeneous evolution equations. Zbl 0556.35067Bénilan, Philippe; Crandall, Michael G. 28 1981 Monotone difference approximations for scalar conservation laws. Zbl 0423.65052Crandall, Michael G.; Majda, Andrew 140 1980 Some relations between nonexpansive and order preserving mappings. Zbl 0449.47059Crandall, Michael G.; Tartar, Luc 83 1980 The method of fractional steps for conservation laws. Zbl 0438.65076Crandall, Michael; Majda, Andrew 47 1980 Mathematical theory of bifurcation. Zbl 0445.34002Crandall, Michael G.; Rabinowitz, Paul H. 3 1980 Uniqueness of solutions of the initial-value problem for \(u_t- \Delta\varphi (u)=0\). Zbl 0408.35054Brézis, Haïm; Crandall, Michael G. 98 1979 Remarks on generators of analytic semigroups. Zbl 0436.47028Crandall, M. G.; Pazy, A.; Tartar, L. 13 1979 An approximation of integrable functions by step functions with an application. Zbl 0415.41009Crandall, M. G.; Pazy, A. 4 1979 On some existence theorems for semi-linear elliptic equations. Zbl 0391.35030Amann, Herbert; Crandall, Michael G. 122 1978 An abstract functional differential equation and a related nonlinear Volterra equation. Zbl 0373.34035Crandall, M. G.; Nohel, J. A. 50 1978 An abstract nonlinear Volterra integrodifferential equation. Zbl 0395.45023Crandall, M. G.; Londen, S.-O.; Nohel, J. A. 44 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 0362.35031Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. 406 1977 The Hopf bifurcation theorem in infinite dimensions. Zbl 0385.34020Crandall, Michael G.; Rabinowitz, Paul H. 104 1977 On the range of accretive operators. Zbl 0355.47039Crandall, Michael G.; Pazy, Amnon 18 1977 A singular semilinear equation in \(L^1(R)\). Zbl 0349.34018Crandall, Michael G.; Evans, Lawrence C. 7 1977 The principle of exchange of stability. Zbl 0537.34044Crandall, Michael G.; Rabinowitz, Paul H. 2 1977 An introduction to evolution governed by accretive operators. Zbl 0339.35049Crandall, Michael G. 25 1976 Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems. Zbl 0309.35057Crandall, Michael G.; Rabinowitz, Paul H. 215 1975 A semilinear equation in \(L^1(\mathbb R^N)\). Zbl 0314.35077Benilan, Philippe; Brézis, Haïm; Crandall, Michael G. 162 1975 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. 48 1975 Bifurcation, perturbation of simple eigenvalues, and linearized stability. Zbl 0275.47044Crandall, Michael G.; Rabinowitz, Paul H. 435 1973 A generalized domain for semigroup generators. Zbl 0285.47044Crandall, Michael G. 33 1973 Nonlinear evolution equations in Banach spaces. Zbl 0249.34049Crandall, M. G.; Pazy, A. 141 1972 The semigroup approach to first order quasilinear equations in several space variables. Zbl 0246.35018Crandall, Michael G. 81 1972 A generalization of Peano’s existence theorem and flow invariance. Zbl 0271.34084Crandall, Michael G. 39 1972 Bifurcation from simple eigenvalues. Zbl 0219.46015Crandall, M. G.; Rabinowitz, P. H. 1,031 1971 Generation of semi-groups of nonlinear transformations on general Banach spaces. Zbl 0226.47038Crandall, M. G.; Liggett, T. M. 456 1971 A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Zbl 0226.47037Crandall, Michael G.; Liggett, Thomas M. 11 1971 Semigroups of nonlinear transformations in Banach spaces. Zbl 0268.47066Crandall, Michael G. 6 1971 Perturbations on nonlinear maximal monotone sets in Banach space. Zbl 0182.47501Brézis, Haïm; Crandall, M. G.; Pazy, A. 126 1970 Nonlinear Sturm-Liouville eigenvalue problems and topological degree. Zbl 0206.09705Crandall, M. G.; Rabinowitz, P. H. 54 1970 Differential equations on convex sets. Zbl 0224.34006Crandall, Michael G. 21 1970 On accretive sets in Banach spaces. Zbl 0198.18503Crandall, M. G.; Pazy, A. 15 1970 Semi-groups of contractions and monotonicity. Zbl 0193.10903Crandall, M. G. 1 1970 Multiple solutions of a nonlinear integral equation. Zbl 0194.14001Crandall, M. G.; Rabinowitz, P. H. 1 1970 Semi-groups of nonlinear contractions and dissipative sets. Zbl 0182.18903Crandall, M. G.; Pazy, A. 120 1969 On the differentiability of weak solutions of a differential equation in Banach space. Zbl 0177.42901Crandall, M. G.; Pazy, A. 18 1969 Norm preserving extensions of linear transformations on Hilbert spaces. Zbl 0175.43101Crandall, M. G. 12 1969 On the extension problem for dissipative operators. Zbl 0167.13404Crandall, M. G.; Phillips, R. S. 14 1968 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,006 Authors 68 Vazquez, Juan Luis 58 Rossi, Julio Daniel 56 Lions, Pierre-Louis 52 Shi, Junping 51 Ishii, Hitoshi 48 Souganidis, Panagiotis E. 48 Wu, Jianhua 44 López-Gómez, Julián 42 Crandall, Michael G. 40 Barles, Guy 32 Díaz Díaz, Jesús Ildefonso 32 Quaas, Alexander 30 Giga, Yoshikazu 30 Mazón Ruiz, José M. 30 Perthame, Benoît 30 Reich, Simeon 30 Świȩch, Andrzej 26 Barbu, Viorel 25 Cardaliaguet, Pierre 25 Vitolo, Antonio 24 Agarwal, Ravi P. 24 Li, Shanbing 24 Wong, Patricia J. Y. 23 Kartsatos, Athanassios G. 23 Soner, Halil Mete 22 Krylov, Nicolaĭ Vladimirovich 22 Manfredi, Juan J. 22 Nie, Hua 21 Cannarsa, Piermarco 21 Capuzzo Dolcetta, Italo 21 Monneau, Régis 21 Sirakov, Boyan Slavchev 20 Frankowska, Hélène 20 Jakobsen, Espen Robstad 20 Osher, Stanley Joel 19 Armstrong, Scott N. 19 Barron, Emmanuel Nicholas 19 Birindelli, Isabeau 19 Caselles Costa, Vicent 19 Evans, Lawrence Craig 19 Katzourakis, Nikolaos I. 19 Peletier, Lambertus Adrianus 19 Santos, Carlos Alberto P. 19 Touzi, Nizar 19 Zhang, Zhijun 18 Bayraktar, Erhan 18 da Silva, João Vítor 18 Giacomoni, Jacques 18 Karlsen, Kenneth Hvistendahl 18 Mitake, Hiroyoshi 18 Tran Vinh Hung 17 Bardi, Martino 17 Bertsch, Michiel 17 Gozzi, Fausto 17 Kim, Inwon Christina 17 Korman, Philip L. 17 Li, Juan 17 Punzo, Fabio 17 Rădulescu, Vicenţiu D. 17 Suárez, Antonio 17 Teixeira, Eduardo V. O. 17 Tesei, Alberto 17 Wang, Qi 17 Zhang, Jianfeng 16 Andreu, Fuensanta 16 Bonforte, Matteo 16 Buckdahn, Rainer 16 Feng, Xiaobing 16 Igbida, Noureddine 16 Kuto, Kousuke 16 Liu, Qing 16 Mohammed, Ahmed 16 Peral Alonso, Ireneo 16 Tanaka, Naoki 16 Topp, Erwin 15 Caffarelli, Luis Ángel 15 Koike, Shigeaki 15 Qian, Jianliang 15 Quirós Gracián, Fernando 15 Risebro, Nils Henrik 15 Shu, Chi-Wang 15 Smart, Charles K. 15 Wang, Mingxin 14 Bouchard, Bruno 14 Dancer, Edward Norman 14 Dong, Yaying 14 Falcone, Maurizio 14 Juutinen, Petri 14 Oberman, Adam M. 14 Peng, Shige 14 Sreenadh, Konijeti 14 Umezu, Kenichiro 14 Webb, Glenn Francis 13 Akagi, Goro 13 Boccardo, Lucio 13 Charro, Fernando 13 Chasseigne, Emmanuel 13 Imbert, Cyril 13 Ley, Olivier 13 Ma, Jin ...and 5,906 more Authors all top 5 Cited in 563 Serials 486 Journal of Differential Equations 417 Journal of Mathematical Analysis and Applications 367 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 271 Nonlinear Analysis. Theory, Methods & Applications 158 Archive for Rational Mechanics and Analysis 155 Calculus of Variations and Partial Differential Equations 144 Communications in Partial Differential Equations 135 Journal of Functional Analysis 133 Transactions of the American Mathematical Society 109 Proceedings of the American Mathematical Society 99 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 97 Journal of Computational Physics 87 Discrete and Continuous Dynamical Systems 86 Journal de Mathématiques Pures et Appliquées. Neuvième Série 84 Applied Mathematics and Optimization 80 NoDEA. Nonlinear Differential Equations and Applications 75 Nonlinear Analysis. Real World Applications 67 Computers & Mathematics with Applications 64 Applicable Analysis 60 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 59 Proceedings of the Royal Society of Edinburgh. Section A. 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Serie IV 26 Applied Numerical Mathematics 25 The Annals of Probability 25 Potential Analysis 24 Journal d’Analyse Mathématique 23 Nonlinearity 23 Manuscripta Mathematica 23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 The Annals of Applied Probability 20 SIAM Journal on Numerical Analysis 20 The Journal of Geometric Analysis 20 SIAM Journal on Financial Mathematics 19 Mathematische Zeitschrift 19 Physica D 19 Abstract and Applied Analysis 19 Proceedings of the Japan Academy 19 Discrete and Continuous Dynamical Systems. Series S 18 Numerical Functional Analysis and Optimization 18 Journal of Nonlinear Science 18 Finance and Stochastics 18 Proceedings of the Steklov Institute of Mathematics 17 Journal of Mathematical Physics 17 Rocky Mountain Journal of Mathematics 16 Chinese Annals of Mathematics. 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Second Series 13 Stochastic Analysis and Applications ...and 463 more Serials all top 5 Cited in 58 Fields 4,900 Partial differential equations (35-XX) 1,295 Calculus of variations and optimal control; optimization (49-XX) 925 Operator theory (47-XX) 786 Numerical analysis (65-XX) 677 Ordinary differential equations (34-XX) 611 Probability theory and stochastic processes (60-XX) 570 Biology and other natural sciences (92-XX) 533 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 493 Systems theory; control (93-XX) 396 Fluid mechanics (76-XX) 252 Dynamical systems and ergodic theory (37-XX) 249 Global analysis, analysis on manifolds (58-XX) 184 Integral equations (45-XX) 171 Operations research, mathematical programming (90-XX) 152 Differential geometry (53-XX) 145 Mechanics of deformable solids (74-XX) 144 Functional analysis (46-XX) 117 Statistical mechanics, structure of matter (82-XX) 114 Mechanics of particles and systems (70-XX) 104 Real functions (26-XX) 68 Classical thermodynamics, heat transfer (80-XX) 59 Potential theory (31-XX) 59 Computer science (68-XX) 50 Information and communication theory, circuits (94-XX) 49 Optics, electromagnetic theory (78-XX) 45 Difference and functional equations (39-XX) 40 Quantum theory (81-XX) 38 Geophysics (86-XX) 37 Several complex variables and analytic spaces (32-XX) 36 Measure and integration (28-XX) 29 Convex and discrete geometry (52-XX) 25 General topology (54-XX) 21 Statistics (62-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 15 Combinatorics (05-XX) 15 Algebraic topology (55-XX) 14 Topological groups, Lie groups (22-XX) 14 Approximations and expansions (41-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Relativity and gravitational theory (83-XX) 9 Functions of a complex variable (30-XX) 8 Group theory and generalizations (20-XX) 7 Astronomy and astrophysics (85-XX) 6 General and overarching topics; collections (00-XX) 6 Abstract harmonic analysis (43-XX) 5 Algebraic geometry (14-XX) 5 Manifolds and cell complexes (57-XX) 4 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Nonassociative rings and algebras (17-XX) 4 Special functions (33-XX) 4 Integral transforms, operational calculus (44-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Geometry (51-XX) 1 \(K\)-theory (19-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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