Michael G. Crandall

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All published works

Action	Title	Year	Authors
+	Completely Accretive Operators	2023	Ph. Benilan Michael G. Crandall
+	A Note on Generalized Maximum Principles for Elliptic and Parabolic PDE	2019	Michael G. Crandall A. Switch
+ PDF Chat	Relations between geometric convexity, doubling measures and property $\Gamma $	2014	Luis Caffarelli Michael G. Crandall
+	The problem of two sticks	2011	Luis Caffarelli Michael G. Crandall
+	Convexity Criteria and Uniqueness of Absolutely Minimizing Functions	2010	Scott N. Armstrong Michael G. Crandall Vesa Julin Charles K. Smart
+ PDF Chat	Distance Functions and Almost Global Solutions of Eikonal Equations	2010	Luis Caffarelli Michael G. Crandall
+	The Problem of Two Sticks	2010	Luis Caffarelli Michael G. Crandall
+	The Problem of Two Sticks	2010	Luis Caffarelli Michael G. Crandall
+ PDF Chat	Derivation of the Aronsson equation for $C^1$ Hamiltonians	2008	Michael G. Crandall Changyou Wang Yifeng Yu
+	A Visit with the ∞-Laplace Equation	2007	Michael G. Crandall
+	Calculus of Variations and Nonlinear Partial Differential Equations	2007	Luigi Ambrosio Luis Caffarelli Michael G. Crandall Lawrence C. Evans Nicola Fusco
+	Calculus of Variations and Nonlinear Partial Differential Equations: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005	2007	Luigi Ambrosio Luis Caffarelli Michael G. Crandall Lawrence C. Evans Nicola Fusco Bernard Dacorogna Paolo Marcellini
+	Uniqueness of ∞-Harmonic Functions and the Eikonal Equation	2007	Michael G. Crandall Gunnar Gunnarsson Peiyong Wang
+	Almost Global Solutions of the Eikonal Equation	2004	Michael G. Crandall
+ PDF Chat	A tour of the theory of absolutely minimizing functions	2004	Gunnar Aronsson Michael G. Crandall Petri Juutinen
+	Another way to say caloric	2004	Michael G. Crandall Pei-Yong Wang
+	Another way to say caloric	2003	Michael G. Crandall Peiyong Wang
+	An Efficient Derivation of the Aronsson Equation	2003	Michael G. Crandall
+ PDF Chat	Another way to say harmonic	2002	Michael G. Crandall Jianying Zhang
+	Optimal Lipschitz extensions and the infinity laplacian	2001	Michael G. Crandall L. C. Evans Ronald Gariepy
+	A remark on infinity harmonic functions.	2001	Michael G. Crandall L. C. Evans
+ PDF Chat	L<sup>p</sup>- Theory for fully nonlinear uniformly parabolic equations	2000	Michael G. Crandall Maciej Kocan Andrzej Święch
+	Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations	1999	Michael G. Crandall Maciej Kocan Pierre Louis Lions Andrzej Święch
+ PDF Chat	Remarks on nonlinear uniformly parabolic equations	1998	Michael G. Crandall Ken Fok Maciej Kocan Andrzej Święch
+	Convergent difference schemes for nonlinear parabolic equations and mean curvature motion	1996	Michael G. Crandall Pierre‐Louis Lions
+	On viscosity solutions of fully nonlinear equations with measurable ingredients	1996	Luis Caffarelli Michael G. Crandall Maciej Kocan A. Święch
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions
+ PDF Chat	On nonuniqueness of viscosity solutions	1992	Michael G. Crandall Zhong Dan Huan
+	user's guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre‐Louis Lions
+	Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. V. Unbounded linear terms and B-continuous solutions	1991	Michael G. Crandall Pierre‐Louis Lions
+	Viscosity solutions of partial differential equations	1991	Michael G. Crandall
+	Viscosity solutions of Hamilton-Jacobi equations in infinite dimensions. IV. Hamiltonians with unbounded linear terms	1990	Michael G. Crandall Pierre‐Louis Lions
+ PDF Chat	Quadratic growth of solutions of fully nonlinear second order equations in $\mathbb{R}^n$	1990	Michael G. Crandall Pierre Louis Lions
+ PDF Chat	The maximum principle for semicontinuous functions	1990	Michael G. Crandall Hitoshi Ishii
+	The maximum principle, semicontinuity and nonlinear PDE's	1990	Michael G. Crandall
+ PDF Chat	Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order	1989	Michael G. Crandall
+	Maximal solutions and universal bounds for some partial differential equations of evolution	1989	Michael G. Crandall Pierre‐Louis Lions Panagiotis E. Souganidis
+	Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in r<sup>n</sup>	1989	Michael G. Crandall Richard Newcomb Yoshihito Tomita
+	Existence and Uniqueness Viscosity Solutions of Degenerate Quasilinear Elliptic Equations in R(N). Revision	1988	Michael G. Crandall Richard Newcomb Yoshihito Tomita
+	SomeL 1 existence and dependence results for semilinear elliptic equations under nonlinear boundary conditions	1988	Philippe Benilán Michael G. Crandall Paul Sacks
+ PDF Chat	Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations	1987	Michael G. Crandall Pierre‐Louis Lions
+ PDF Chat	Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited	1987	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions
+	DIRECTION in partial differential equations	1987	Michael G. Crandall Paul H. Robinowitz R. E. Turner Zhi Chen Wei Wang David L. Dilcher Ge Sun Wang Hongshan
+	Directions in Partial Differential Equations	1987	Michael G. Crandall Paul H. Rabinowitz R. E. Turner
+	Hamilton-Jacobi equations in infinite dimensions, III	1986	Michael G. Crandall Pierre‐Louis Lions
+	Convergence of difference approximations of quasilinear evolution equations	1986	Michael G. Crandall Panagiotis E. Souganidis
+	On existence and uniqueness of solutions of Hamilton-Jacobi equations	1986	Michael G. Crandall Pierre‐Louis Lions
+	Hamilton-Jacobi equations in infinite dimensions. II. Existence of viscosity solutions	1986	Michael G. Crandall Pierre‐Louis Lions
+	Nonlinear semigroups and evolution governed by accretive operators	1986	Michael G. Crandall
+	Hamilton-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions	1985	Michael G. Crandall Pierre‐Louis Lions
+ PDF Chat	Viscosity solutions of Hamilton-Jacobi equations at the boundary	1985	Michael G. Crandall Richard Newcomb
+	A remark on semilinear perturbations of abstract parabolic equations	1985	Michael G. Crandall
+	Viscosity Solutions of Hamilton-Jacobi Equations in Banach Spaces	1985	Michael G. Crandall Pierre‐Louis Lions
+	Nonlinear Semigroups and Evolution Governed by Accretive Operators.	1984	Michael G. Crandall
+ PDF Chat	Two Approximations of Solutions of Hamilton-Jacobi Equations	1984	Michael G. Crandall Pierre Louis Lions
+ PDF Chat	Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations	1984	Michael G. Crandall L. C. Evans Pierre Louis Lions
+	Developments in the Theory of Nonlinear First-Order Partial Differential Equations	1984	Michael G. Crandall Panagiotis E. Souganidis
+ PDF Chat	Two approximations of solutions of Hamilton-Jacobi equations	1984	Michael G. Crandall Pierre‐Louis Lions
+ PDF Chat	Some properties of viscosity solutions of Hamilton-Jacobi equations	1984	Michael G. Crandall L. C. Evans Pierre‐Louis Lions
+ PDF Chat	Viscosity Solutions of Hamilton-Jacobi Equations	1983	Michael G. Crandall Pierre‐Louis Lions
+	Regularizing Effects for u t = Δϕ(u)	1982	Michael G. Crandall Michel Pierre
+	Stabilization of solutions of a degenerate nonlinear diffusion problem	1982	Donald G. Aronson Michael G. Crandall L. A. Peletier
+	Solutions of the Porous Medium Equation in R(N) under Optimal Conditions on Initial Values.	1982	Philippe Benilán Michael G. Crandall Michel Pierre
+	Nonlinear Evolution Equations.	1982	Michael G. Crandall
+	Regularizing effects for ut + Aϑ(u) = 0 in L1	1982	Michael G. Crandall Michel Pierre
+ PDF Chat	Regularizing effects for $u\sb{t}=\Delta \varphi (u)$	1982	Michael G. Crandall Michel Pierre
+	Viscosity Solutions of Hamilton-Jacobi Equations	1982	Michael G. Crandall
+	Regularizing Effects for u sub t + A(psi(u))=0 in L1 Vector Space.	1981	Michael G. Crandall Michel Pierre
+	Regularizing Effects of Homogeneous Evolution Equations	1980	Michael G. Crandall Philippe Benilán
+ PDF Chat	Some Relations Between Nonexpansive and Order Preserving Mappings	1980	Michael G. Crandall Luc Tartar
+ PDF Chat	Some relations between nonexpansive and order preserving mappings	1980	Michael G. Crandall Luc Tartar
+ PDF Chat	Monotone difference approximations for scalar conservation laws	1980	Michael G. Crandall Andrew J. Majda
+	Mathematical Theory of Bifurcation	1980	Michael G. Crandall Paul H. Rabinowitz
+ PDF Chat	Monotone Difference Approximations for Scalar Conservation Laws	1980	Michael G. Crandall Andrew J. Majda
+	Remarks on generators of analytic semigroups	1979	Michael G. Crandall A. Pazy Luc Tartar
+ PDF Chat	An approximation of integrable functions by step functions with an application	1979	Michael G. Crandall A. Pazy
+	An abstract functional differential equation and a related nonlinear Volterra equation	1978	Michael G. Crandall John A. Nohel
+ PDF Chat	Book Review: Nonlinear semigroups and differential equations in Banach spaces	1978	Michael G. Crandall
+	An abstract nonlinear Volterra integrodifferential equation	1978	Michael G. Crandall Stig–Olof Londen John A. Nohel
+	Nonlinear evolution equations : proceedings of a symposium	1978	Michael G. Crandall
+	On Some Existence Theorems for Semi-Linear Elliptic Equations.	1977	Herbert Amann Michael G. Crandall
+ PDF Chat	A singular semilinear equation in 𝐿¹(𝑅)	1977	Michael G. Crandall Lawrence C. Evans
+	The Hopf Bifurcation Theorem in infinite dimensions	1977	Michael G. Crandall Paul H. Rabinowitz
+	A Singular Semilinear Equation in L 1 (R)	1977	Michael G. Crandall Lawrence C. Evans
+	On a dirichlet problem with a singular nonlinearity	1977	Michael G. Crandall Paul H. Rabinowitz Luc Tartar
+	THE PRINCIPLE OF EXCHANGE OF STABILITY	1977	Michael G. Crandall Paul H. Rabinowitz
+	The Hopf Bifurcation Theorem.	1976	Michael G. Crandall Paul H. Rabinowitz
+	An Introduction to Evolution Governed by Accretive Operators	1976	Michael G. Crandall
+	On the relation of the operator ∂/∂s+∂/∂τ to evolution governed by accretive operators	1975	Michael G. Crandall L. C. Evans
+	Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems	1975	Michael G. Crandall Paul H. Rabinowitz
+	A semilinear equation in $L^1 (\mathbb {R}^N)$	1975	Philippe Benilán Haı̈m Brezis Michael G. Crandall
+	A semilinear elliptic equation in L[1] (IR[n])	1975	Philippe Benilán H. Brézis Michael G. Crandall
+	Bifurcation, perturbation of simple eigenvalues, itand linearized stability	1973	Michael G. Crandall Paul H. Rabinowitz
+ PDF Chat	A generalized domain for semigroup generators	1973	Michael G. Crandall
+ PDF Chat	A Generalized Domain for Semigroup Generators	1973	Michael G. Crandall
+	The semigroup approach to first order quasilinear equations in several space variables	1972	Michael G. Crandall
+	Nonlinear evolution equations in Banach spaces	1972	Michael G. Crandall A. Pazy
+ PDF Chat	A generalization of Peano’s existence theorem and flow invariance	1972	Michael G. Crandall
+	Bifurcation from simple eigenvalues	1971	Michael G. Crandall Paul H. Rabinowitz
+ PDF Chat	A Theorem and a Counterexample in The Theory of Semigroups of Nonlinear Transformations	1971	Michael G. Crandall Thomas M. Liggett
+	Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces	1971	Michael G. Crandall Thomas M. Liggett
+ PDF Chat	A theorem and a counterexample in the theory of semigroups of nonlinear transformations	1971	Michael G. Crandall Thomas M. Liggett
+	Semigroups of Nonlinear Transformations in Banach Spaces	1971	Michael G. Crandall
+ PDF Chat	Differential equations on convex sets	1970	Michael G. Crandall
+	On accretive sets in Banach spaces	1970	Michael G. Crandall A. Pazy
+	Multiple solutions of a nonlinear integral equation	1970	Michael G. Crandall Paul H. Rabinowitz
+	Perturbations of nonlinear maximal monotone sets in banach space	1970	Haı̈m Brezis Michael G. Crandall A. Pazy
+	Norm Preserving Extensions of Linear Transformations on Hilbert Spaces	1969	Michael G. Crandall
+ PDF Chat	Norm preserving extensions of linear transformations on Hilbert spaces.	1969	Michael G. Crandall
+	On the extension problem for dissipative operators	1968	Michael G. Crandall Ralph S. Phillips
+ PDF Chat	Boundary Value Problems for Symmetric Positive Differential Operators of Odd Order	1968	Michael G. Crandall

Common Coauthors

Coauthor	Papers Together
Pierre‐Louis Lions	14
Paul H. Rabinowitz	10
Luis A. Caffarelli	8
L. C. Evans	5
Philippe Benilán	5
A. Pazy	5
Michel Pierre	5
Hitoshi Ishii	4
Pierre Louis Lions	4
Maciej Kocan	4
Lawrence C. Evans	4
Luc Tartar	4
Richard T. Newcomb	3
Thomas M. Liggett	3
Andrzej Święch	3
Panagiotis E. Souganidis	3
Yoshihito Tomita	2
John A. Nohel	2
Andrew J. Majda	2
Haı̈m Brezis	2
Luigi Ambrosio	2
R. E. Turner	2
Nicola Fusco	2
Pierre-Louis Lions	2
Peiyong Wang	2
Gunnar Gunnarsson	1
David L. Dilcher	1
Ralph S. Phillips	1
Ph. Benilan	1
Pei Yong Wang	1
Donald G. Aronson	1
Zhi Chen	1
L. A. Peletier	1
Charles K. Smart	1
A. Switch	1
Ken Fok	1
Herbert Amann	1
Paul Sacks	1
Gunnar Aronsson	1
Scott N. Armstrong	1
H. Brézis	1
Petri Juutinen	1
Bernard Dacorogna	1
Paul H. Robinowitz	1
Zhong Dan Huan	1
Vesa Julin	1
Stig–Olof Londen	1
Ge Sun	1
Paolo Marcellini	1
Changyou Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Some properties of viscosity solutions of Hamilton-Jacobi equations	1984	Michael G. Crandall L. C. Evans Pierre‐Louis Lions	16
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	12
+	The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations	1988	Robert Jensen	10
+	Viscosity solutions of fully nonlinear second-order elliptic partial differential equations	1990	Hitoshi Ishii Pierre‐Louis Lions	10
+	An Introduction to Evolution Governed by Accretive Operators	1976	Michael G. Crandall	9
+ PDF Chat	Existence results for first order Hamilton Jacobi equations	1984	Guy Barles	9
+	On existence and uniqueness of solutions of Hamilton-Jacobi equations	1986	Michael G. Crandall Pierre‐Louis Lions	9
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	9
+	Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces	1971	Michael G. Crandall Thomas M. Liggett	9
+	On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's	1989	Hitoshi Ishii	9
+	Nonlinear semigroups and differential equations in Banach spaces	1976	Viorel Barbu	8
+	Existence of viscosity solutions of Hamilton-Jacobi equations	1985	Panagiotis E. Souganidis	8
+	Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient	1993	Robert Jensen	7
+ PDF Chat	Nonlinear semigroups and evolution equations	1967	Tosio Kato	7
+	On solving certain nonlinear partial differential equations by accretive operator methods	1980	Lawrence C. Evans	7
+	Perron’s method for Hamilton-Jacobi equations	1987	Hitoshi Ishii	7
+	Hamilton-Jacobi equations in infinite dimensions I. Uniqueness of viscosity solutions	1985	Michael G. Crandall Pierre‐Louis Lions	7
+	Optimal Lipschitz extensions and the infinity laplacian	2001	Michael G. Crandall L. C. Evans Ronald Gariepy	7
+ PDF Chat	Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations	1987	Michael G. Crandall Pierre‐Louis Lions	6
+	Hamilton-Jacobi equations in Hilbert spaces	1983	Viorel Barbu Giuseppe Da Prato	6
+ PDF Chat	A uniqueness result for viscosity solutions of second order fully nonlinear partial differential equations	1988	R. Jensen Pierre‐Louis Lions Panagiotis E. Souganidis	6
+	A remark on infinity harmonic functions.	2001	Michael G. Crandall L. C. Evans	6
+ PDF Chat	Viscosity Solutions of Hamilton-Jacobi Equations	1983	Michael G. Crandall Pierre‐Louis Lions	6
+	Interior a Priori Estimates for Solutions of Fully Non-Linear Equations	1989	Luis Caffarelli	6
+ PDF Chat	Semi-linear second-order elliptic equations in L1	1973	Haı̈m Brezis Walter A. Strauss	6
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg	5
+ PDF Chat	A tour of the theory of absolutely minimizing functions	2004	Gunnar Aronsson Michael G. Crandall Petri Juutinen	5
+	EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*	2001	Guy Barles Jérôme Busca	5
+ PDF Chat	Viscosity solutions of Hamilton-Jacobi equations at the boundary	1985	Michael G. Crandall Richard Newcomb	5
+ PDF Chat	Two approximations of solutions of Hamilton-Jacobi equations	1984	Michael G. Crandall Pierre‐Louis Lions	5
+	The Euler Equation and¶Absolute Minimizers of L∞ Functionals	2001	E. N. Barron Robert Jensen C. Y. Wang	5
+	Viscosity Solutions of Hamilton-Jacobi Equations	1982	Michael G. Crandall	5
+	FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES	1970	S N Kružkov	5
+ PDF Chat	Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations	1984	Michael G. Crandall L. C. Evans Pierre Louis Lions	5
+	Remarks on Existence of Viscosity Solutions of Hamilton-Jacobi Equations	1983	Hitoshi Ishii	5
+	Optimization of functions on certain subsets of Banach spaces	1978	Charles Stegall	5
+	Max-min representations and product formulas for the viscosity solutions of Hamilton-Jacobi equations with applications to differential games	1985	Panagiotis E. Souganidis	5
+	Hamilton-Jacobi equations in infinite dimensions. II. Existence of viscosity solutions	1986	Michael G. Crandall Pierre‐Louis Lions	5
+	The necessary conditions for optimal control in Hilbert spaces	1988	Viorel Barbu E. N. Barron R. Jensen	4
+	Fully Nonlinear Elliptic Equations	1995	Luis Caffarelli Xavier Cabré	4
+	An Efficient Derivation of the Aronsson Equation	2003	Michael G. Crandall	4
+	Representation of solutions of Hamilton-Jacobi equations	1988	Hitoshi Ishii	4
+	Some global results for nonlinear eigenvalue problems	1971	Paul H. Rabinowitz	4
+ PDF Chat	Hamilton-Jacobi equations in Hilbert spaces; variational and semigroup approach	1985	Viorel Barbu Giuseppe Da Prato	4
+	The semigroup approach to first order quasilinear equations in several space variables	1972	Michael G. Crandall	4
+	Neumann type boundary conditions for Hamilton-Jacobi equations	1985	Pierre‐Louis Lions	4
+	On viscosity solutions of fully nonlinear equations with measurable ingredients	1996	Luis Caffarelli Michael G. Crandall Maciej Kocan A. Święch	4
+	Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III. Uniqueness of viscosity solutions for general second-order equations	1989	Pierre‐Louis Lions	4
+ PDF Chat	The maximum principle for semicontinuous functions	1990	Michael G. Crandall Hitoshi Ishii	4
+	On the Hamilton-Jacobi-Bellman equations in Banach spaces	1988	H. Meté Soner	4