WorldCat Identities

Crandall, Michael G.

Overview
Works: 84 works in 271 publications in 1 language and 1,269 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Commentator
Classifications: QA3, 515.35
Publication Timeline
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Most widely held works about Michael G Crandall
 
Most widely held works by Michael G Crandall
Nonlinear evolution equations : proceedings of a symposium by Symposium on Nonlinear Evolution Equations( Book )

27 editions published between 1977 and 1978 in English and Undetermined and held by 346 WorldCat member libraries worldwide

This volume constitutes the proceedings of the Symposium on Nonlinear Evolution Equations held in Madison, October 17-19, 1977. The thirteen papers presented here follow the order of the corresponding lectures. J. Moser's lecture, 'Differential Equations Connected with Iso-Spectral Deformations, ' is not represented in this volume. However, the relevant material is forthcoming in a joint article by J. Moser and M. Adler in Comm. Math. Phys. (1978). This symposium was sponsored by the Army Research Office, the National Science Foundation, and the Office of Naval Research. Among those who contributed to the success of the symposium John A. Nohel, our cochairman, deserves special mention. Hearty thanks are also due to the speakers, the chairmen of the sessions, our peerless symposium secretary Mrs. Gladys G. Moran, and the outstanding group of participants who made the symposium such an exceptional event. The cheerful competence of Judith Siesen was indispensable in preparing this volume. (Author)
Directions in partial differential equations by Michael G Crandall( Book )

17 editions published between 1987 and 2014 in English and Undetermined and held by 255 WorldCat member libraries worldwide

Directions in Partial Differential Equations
Semigroups, theory and applications( Book )

6 editions published in 1986 in English and held by 249 WorldCat member libraries worldwide

Semigroups, theory and applications by H Brézis( Book )

17 editions published in 1986 in English and held by 53 WorldCat member libraries worldwide

Viscosity solutions of partial differential equations by Michael G Crandall( Visual )

6 editions published between 1990 and 2008 in English and held by 16 WorldCat member libraries worldwide

Live recording of a lecture by Michael Crandall at which he presents an expository introduction to the theory of viscosity solutions of parital differential equations
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 by C.I.M.E. Summer School( )

1 edition published in 2008 in English and held by 13 WorldCat member libraries worldwide

This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on the calculus of variations and partial differential equations is contributed by Elvira Mascolo
Regularizing effects of homogeneous evolution equations by Michael G Crandall( Book )

5 editions published in 1980 in English and held by 7 WorldCat member libraries worldwide

It is well-known that solving the initial-value problem for the heat equation forward in time takes a 'rough' initial temperature into a temperature which is smooth at later times t> greater than 0. One aspect of this is the validity of certain estimates on tut when u is a solution of the heat equation. In this paper we prove related estimates on nonlinear evolution equations which are governed by homogeneous nonlinearities. The results apply to classes of nonlinear diffusion equations and to conservation laws. The results are interesting from the point of view of identifying a new 'regularization' mechanism and the estimates themselves cast new light on the nature of the solutions of some initial-value problems with rough initial data
A semilinear elliptic equation in L 1 (IR N) by P Bénilan( Book )

6 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide

Some relations between nonexpansive and order preserving mappings by Michael G Crandall( Book )

4 editions published in 1979 in English and held by 6 WorldCat member libraries worldwide

It is shown that nonlinear operators which preserve the integral are order preserving if and only if they are nonexpansive in L(1) and that those wich commute with translation by a constant are order preserving if and only if they are nonexpansive in L(infinity). Examples are presented and involving partial differential equations, difference approximations and rearrangements. (Author)
Regularizing effects for u[t] + A[phi](u) = 0 in L1 by Michael G Crandall( Book )

5 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide

On the relation of the operator [delta]/[delta]s + [delta]/[delta]t to evolution governed by accretive operators by Michael G Crandall( Book )

5 editions published in 1975 in English and held by 6 WorldCat member libraries worldwide

Remarks on Generators of Analytic Semigroups by Michael G Crandall( Book )

5 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide

This paper contains two new characterizations of generators of analytic semigroups of linear operators in a Banach space. These characterizations do not require use of complex numbers. One is used to give a new proof that strongly elliptic second order partial differential operators generate analytic semigroups in L superscript p, 1 <p <infinity, while the sufficient condition in the other characterization is meaningful in the case of nonlinear operators. (Author)
Bifurcation, Perturbation of Simple Eigenvalues and Linearized Stability by Michael G Crandall( Book )

5 editions published between 1972 and 1973 in English and held by 5 WorldCat member libraries worldwide

The eigenvalue of minimum modulus of the Frechet derivative of a nonlinear operator is estimated along a bifurcating curve of zeroes of the operator. This result is applied to the study of a number of differential equations. Parallel results are developed for a class of nonlinear eigenvalue problems of positive type. (Author)
An approximation of integrable functions by step functions with an application by Michael G Crandall( Book )

5 editions published between 1978 and 1979 in English and held by 5 WorldCat member libraries worldwide

A method of approximating functions which are integrable on (0, infinity) by piecewise constant functions is presented and studied in this paper. The method used and the properties established for it allow one to reduce the study of the convergence of a difference method of theoretical interest for nonlinear time-dependent problems with forcing terms to the simpler study of related problems without forcing terms
Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995 by M Bardi( Book )

5 editions published in 1997 in English and held by 5 WorldCat member libraries worldwide

The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a state-of-the-art reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes
Monotone difference approximations for scalar conservation laws by Michael G Crandall( Book )

5 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide

A complete self-contained treatment of the stability and convergence properties of conservation form, monotone difference approximations to scalar conservation laws in several space variables is developed. In particular, the authors prove that general monotone difference schemes always converge and that they converge to the physical weak solution satisfying the entropy condition. Rigorous convergence results follow for dimensional splitting algorithms when each step is approximated by a monotone difference scheme. The results are general enough to include, for instance, Godunov's scheme, the upwind scheme (Differenced through stagnation points), and the Lax-Friedrichs scheme together with appropriate multi-dimensional generalizations. (Author)
A Generalized Domain for Semigroup Generators by Michael G Crandall( Book )

5 editions published in 1972 in English and held by 5 WorldCat member libraries worldwide

A generalized domain D(A) is assigned to a certain class of generators A of semigroups of nonlinear transformations S on Banach spaces. D(A) is then characterized in two ways. D(A) is the set of x such that S(t)x is locally Lipschitz continuous in t, or, equivalently, the set of x which can lie in the domain of suitable extensions of A. (Author)
A singular semilinear equation in L 1 (R) by Michael G Crandall( Book )

4 editions published in 1975 in English and Undetermined and held by 4 WorldCat member libraries worldwide

Calculus of Variations and Nonlinear Partial Differential Equations : With a historical overview by Elvira Mascolo by Luigi Ambrosio( Book )

6 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide

This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro (Italy) in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. The topics discussed are transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, weak KAM theory and geometrical aspects of symmetrization. A historical overview of all CIME courses on the calculus of variations and partial differential equations is contributed by Elvira Mascolo
Nonlinear Evolution Equations by Michael G Crandall( )

2 editions published in 2014 in English and held by 0 WorldCat member libraries worldwide

 
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Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995
Alternative Names
Crandall, M. G.

Crandall, M. G. (Michael G.)

Michael Crandall

Michael Crandall US-amerikanischer Mathematiker

Michael G. Crandall Amerikaans wiskundige

Michael G. Crandall amerikansk matematikar

Michael G. Crandall amerikansk matematiker

Michael G. Crandall mathématicien américain

Майкл Крандалл американский математик

Languages
English (137)

Covers
Calculus of Variations and Nonlinear Partial Differential Equations : With a historical overview by Elvira Mascolo