Evans, Lawrence C. 1949
Overview
Works:  32 works in 209 publications in 3 languages and 2,812 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA377, 515.353 
Publication Timeline
.
Most widely held works by
Lawrence C Evans
Partial differential equations by
Lawrence C Evans(
Book
)
31 editions published between 1991 and 2015 in English and held by 689 WorldCat member libraries worldwide
Lawrence C. Evans presents a comprehensive survey of modern techniques in the theoretical study of partial differential equations, with particular emphasis on nonlinear equations
31 editions published between 1991 and 2015 in English and held by 689 WorldCat member libraries worldwide
Lawrence C. Evans presents a comprehensive survey of modern techniques in the theoretical study of partial differential equations, with particular emphasis on nonlinear equations
Measure theory and fine properties of functions by
Lawrence C Evans(
Book
)
28 editions published between 1992 and 2015 in English and Russian and held by 539 WorldCat member libraries worldwide
This book provides a detailed examination of the central assertions of measure theory in ndimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related changeofvariable formulas, and Sobolev functions and functions of bounded variation. The text provides complete proofs of many key results omitted from other books, including Besicovitch's Covering Theorem, Rademacher's Theorem (on the differentiability a.e. of Lipschitz functions), the Area and Coarea Formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Alexandro's Theorem (on the twice differentiability a.e. of convex functions). Topics are carefully selected and the proofs succinct, but complete, which makes this book ideal reading for applied mathematicians and graduate students in applied mathematics.  Book Description from Website
28 editions published between 1992 and 2015 in English and Russian and held by 539 WorldCat member libraries worldwide
This book provides a detailed examination of the central assertions of measure theory in ndimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related changeofvariable formulas, and Sobolev functions and functions of bounded variation. The text provides complete proofs of many key results omitted from other books, including Besicovitch's Covering Theorem, Rademacher's Theorem (on the differentiability a.e. of Lipschitz functions), the Area and Coarea Formulas, the precise structure of Sobolev and BV functions, the precise structure of sets of finite perimeter, and Alexandro's Theorem (on the twice differentiability a.e. of convex functions). Topics are carefully selected and the proofs succinct, but complete, which makes this book ideal reading for applied mathematicians and graduate students in applied mathematics.  Book Description from Website
Weak convergence methods for nonlinear partial differential equations by
Lawrence C Evans(
Book
)
28 editions published between 1988 and 2009 in 3 languages and held by 408 WorldCat member libraries worldwide
The purpose of this book is to explain systematically and clearly many of the most important techniques set forth in recent years for using weak convergence methods to study nonlinear partial differential equations. This work represents an expanded version of a series of ten talks presented by the author at Loyola University of Chicago in the summer of 1988. The author surveys a wide collection of techniques for showing the existence of solutions to various nonlinear partial differential equations, especially when strong analytic estimates are unavailable. The overall guiding viewpoint is that
28 editions published between 1988 and 2009 in 3 languages and held by 408 WorldCat member libraries worldwide
The purpose of this book is to explain systematically and clearly many of the most important techniques set forth in recent years for using weak convergence methods to study nonlinear partial differential equations. This work represents an expanded version of a series of ten talks presented by the author at Loyola University of Chicago in the summer of 1988. The author surveys a wide collection of techniques for showing the existence of solutions to various nonlinear partial differential equations, especially when strong analytic estimates are unavailable. The overall guiding viewpoint is that
Differential equations methods for the MongeKantorevich mass transfer problem by
Lawrence C Evans(
Book
)
13 editions published in 1999 in English and held by 237 WorldCat member libraries worldwide
13 editions published in 1999 in English and held by 237 WorldCat member libraries worldwide
An introduction to stochastic differential equations by
Lawrence C Evans(
Book
)
9 editions published in 2013 in English and held by 211 WorldCat member libraries worldwide
These notes provide a concise introduction to stochastic differential equations and their application to the study of financial markets and as a basis for modeling diverse physical phenomena. They are accessible to nonspecialists and make a valuable addition to the collection of texts on the topic. Srinivasa Varadhan, New York University This is a handy and very useful text for studying stochastic differential equations. There is enough mathematical detail so that the reader can benefit from this introduction with only a basic background in mathematical analysis and probability. George Papa
9 editions published in 2013 in English and held by 211 WorldCat member libraries worldwide
These notes provide a concise introduction to stochastic differential equations and their application to the study of financial markets and as a basis for modeling diverse physical phenomena. They are accessible to nonspecialists and make a valuable addition to the collection of texts on the topic. Srinivasa Varadhan, New York University This is a handy and very useful text for studying stochastic differential equations. There is enough mathematical detail so that the reader can benefit from this introduction with only a basic background in mathematical analysis and probability. George Papa
Partial differential equations by
Lawrence C Evans(
Book
)
7 editions published between 1993 and 1994 in English and held by 25 WorldCat member libraries worldwide
7 editions published between 1993 and 1994 in English and held by 25 WorldCat member libraries worldwide
Partial differential equations by
Lawrence C Evans(
Book
)
5 editions published between 1993 and 1994 in English and held by 7 WorldCat member libraries worldwide
5 editions published between 1993 and 1994 in English and held by 7 WorldCat member libraries worldwide
Nonlinear evolution equations in Banach spaces by
Lawrence C Evans(
Book
)
6 editions published in 1975 in English and Undetermined and held by 6 WorldCat member libraries worldwide
6 editions published in 1975 in English and Undetermined and held by 6 WorldCat member libraries worldwide
A free boundary problem by
Lawrence C Evans(
Book
)
6 editions published in 1975 in English and Undetermined and held by 6 WorldCat member libraries worldwide
A free boundary problem that generalizes slightly the equations modelling the flow of two immiscible fluids in a onedimensional porous medium is studied. One seeks a curve s(t), representing the interface between the liquids, and a function u(x, t), representingafter a change of variablesthe pressures of the fluids
6 editions published in 1975 in English and Undetermined and held by 6 WorldCat member libraries worldwide
A free boundary problem that generalizes slightly the equations modelling the flow of two immiscible fluids in a onedimensional porous medium is studied. One seeks a curve s(t), representing the interface between the liquids, and a function u(x, t), representingafter a change of variablesthe pressures of the fluids
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
5 editions published in 1975 in English and held by 6 WorldCat member libraries worldwide
Fully nonlinear second order elliptic equations with large zeroth order coefficient by
Lawrence C Evans(
Book
)
5 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide
This report proves the existence of classical solutions to certain fully nonlinear second order elliptic equations with large zeroth order coefficient. The principal tool is an a priori estimate asserting that the C superscript 2, alphanorm of the solution cannot lie in a certain interval of the positive real axis. (Author)
5 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide
This report proves the existence of classical solutions to certain fully nonlinear second order elliptic equations with large zeroth order coefficient. The principal tool is an a priori estimate asserting that the C superscript 2, alphanorm of the solution cannot lie in a certain interval of the positive real axis. (Author)
Recent advances in nonlinear elliptic and parabolic problems : proceedings of an international conference, Nancy, France,
March 1988 by International conference on recent advances in nonlinear elliptic and parabolic problems(
Book
)
2 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
Hardy spaces and the twodimensional Euler equations with nonnegative vorticity by
Lawrence C Evans(
Book
)
2 editions published in 1992 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 5 WorldCat member libraries worldwide
Fast/slow diffusion and growing sandpiles by
Gunnar Aronsson(
Book
)
4 editions published between 1965 and 1996 in English and held by 4 WorldCat member libraries worldwide
4 editions published between 1965 and 1996 in English and held by 4 WorldCat member libraries worldwide
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
4 editions published in 1975 in English and Undetermined and held by 4 WorldCat member libraries worldwide
An asymptotic model for compression molding by
Gunnar Aronsson(
Book
)
4 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
A Variational Inequality Approach to the BellmanDirichlet Equation for Two Elliptic Operators by
H Brézis(
Book
)
4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide
Partial differential equations : chapters 611 by
Lawrence C Evans(
Book
)
3 editions published in 1994 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1994 in English and held by 3 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
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
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 1220, 1995 by
M Bardi(
)
3 editions published in 1997 in English and held by 0 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 stateoftheart 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
3 editions published in 1997 in English and held by 0 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 stateoftheart 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
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Associated Subjects
Approximation theory Banach spaces Boundary value problems Cauchy problem Convergence Difference equations Differential equations Differential equations, Elliptic Differential equations, Nonlinear Differential equations, Parabolic Differential equations, Partial Differential equationsNumerical solutions Differential operators Distribution (Probability theory) Equations Evolution equations Existence theorems Functional analysis Functions Mathematical optimization Mathematics Measure theory Monotone operators Nonlinear operators Stochastic differential equations Transportation problems (Programming) Viscosity solutions
Alternative Names
Evans, L.C.
Evans, L. C. 1949...
Evans, L. C. (Lawrence, C.), 1949
Evans, Lawrence C.
Evans, Lawrence Craig 1949
Lawrence C. Evans Amerikaans wiskundige
Lawrence C. Evans amerikansk matematikar
Lawrence C. Evans amerikansk matematiker
Lawrence C. Evans matemático estadounidense
Lawrence C. Evans matematico statunitense
Lawrence C. Evans mathématicien américain
Lawrence C. Evans USamerikanischer Mathematiker
Lawrence Craig Evans
Lawrence Evans
Лоренс Эванс американский математик
لارنس سی. اوانس ریاضیدان آمریکایی
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