Lawrence C. Evans's Books

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: Luigi Ambrosio,Luis A. Caffarelli,Michael G. Crandall,Lawrence C. Evans,Nicola Fusco

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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: Luigi Ambrosio,Luis A. Caffarelli,Michael G. Crandall,Lawrence C. Evans,Nicola Fusco

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. Coverage includes transport equations for nonsmooth vector fields, viscosity methods for the infinite Laplacian, and geometrical aspects of symmetrization.

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Page Count

213

Publisher

Springer

Published Date

ISBN 10

354075914X

ISBN 13

9783540759140

Weak Convergence Methods for Nonlinear Partial Differential Equations

By: Lawrence C. Evans

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Weak Convergence Methods for Nonlinear Partial Differential Equations

By: Lawrence C. Evans

Expository lectures from the the CBMS Regional Conference held at Loyola University of Chicago, June 27-July 1, 1988."--T.p. verso.

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American Mathematical Soc.

Published Date

ISBN 10

0821807242

ISBN 13

9780821807248

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: Martino Bardi,Michael G. Crandall,Lawrence C. Evans,Halil M. Soner,Panagiotis E. Souganidis

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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

By: Martino Bardi,Michael G. Crandall,Lawrence C. Evans,Halil M. Soner,Panagiotis E. Souganidis

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.

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Page Count

268

Publisher

Springer

Published Date

ISBN 10

3540690433

ISBN 13

9783540690436

Partial Differential Equations

By: Lawrence C. Evans

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Partial Differential Equations

By: Lawrence C. Evans

This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography. About the First Edition: I have used this book for both regular PDE and topics courses. It has a wonderful combination of insight and technical detail. … Evans' book is evidence of his mastering of the field and the clarity of presentation. —Luis Caffarelli, University of Texas It is fun to teach from Evans' book. It explains many of the essential ideas and techniques of partial differential equations … Every graduate student in analysis should read it. —David Jerison, MIT I usePartial Differential Equationsto prepare my students for their Topic exam, which is a requirement before starting working on their dissertation. The book provides an excellent account of PDE's … I am very happy with the preparation it provides my students. —Carlos Kenig, University of Chicago Evans' book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowledge … An outstanding reference for many aspects of the field. —Rafe Mazzeo, Stanford University

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Page Count

662

Publisher

American Mathematical Society

Published Date

ISBN 10

1470469421

ISBN 13

9781470469429

Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem

By: Lawrence C. Evans,Wilfrid Gangbo

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Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem

By: Lawrence C. Evans,Wilfrid Gangbo

In this volume, the authors demonstrate under some assumptions on $f $, $f $ that a solution to the classical Monge-Kantorovich problem of optimally rearranging the measure $\mu{ }=f dx$ onto $\mu =f dy$ can be constructed by studying the $p$-Laplacian equation $- \roman{div}(\vert DU_p\vert p-2}Du_p)=f -f $ in the limit as $p\rightarrow\infty$. The idea is to show $u_p\rightarrow u$, where $u$ satisfies $\vert Du\vert\leq 1, -\roman{div}(aDu)=f -f $ for some density $a\geq0$, and then to build a flow by solving a nonautonomous ODE involving $a, Du, f $ and $f $

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American Mathematical Soc.

Published Date

ISBN 10

0821809385

ISBN 13

9780821809389

An Introduction to Stochastic Differential Equations

By: Lawrence C. Evans

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An Introduction to Stochastic Differential Equations

By: Lawrence C. Evans

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 non-specialists 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 Papanicolaou, Stanford University This book covers the most important elementary facts regarding stochastic differential equations; it also describes some of the applications to partial differential equations, optimal stopping, and options pricing. The book's style is intuitive rather than formal, and emphasis is made on clarity. This book will be very helpful to starting graduate students and strong undergraduates as well as to others who want to gain knowledge of stochastic differential equations. I recommend this book enthusiastically. --Alexander Lipton, Mathematical Finance Executive, Bank of America Merrill Lynch This short book provides a quick, but very readable introduction to stochastic differential equations, that is, to differential equations subject to additive ``white noise'' and related random disturbances. The exposition is concise and strongly focused upon the interplay between probabilistic intuition and mathematical rigor. Topics include a quick survey of measure theoretic probability theory, followed by an introduction to Brownian motion and the Ito stochastic calculus, and finally the theory of stochastic differential equations. The text also includes applications to partial differential equations, optimal stopping problems and options pricing. This book can be used as a text for senior undergraduates or beginning graduate students in mathematics, applied mathematics, physics, financial mathematics, etc., who want to learn the basics of stochastic differential equations. The reader is assumed to be fairly familiar with measure theoretic mathematical analysis, but is not assumed to have any particular knowledge of probability theory (which is rapidly developed in Chapter 2 of the book).

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Page Count

161

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470410540

ISBN 13

9781470410544

Age of Transition

Byzantine Culture in the Islamic World

By: Edward Bleiberg,Lisa R. Brody,Steven Fine,Arnold E. Franklin,Alan Gampel,Claus-Peter Haase,Lyle Humphrey,Hieromonk Justin of Sinai,Annie Montgomery Labatt,Lawrence Nees,Robert Schick,Carol Snow

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Age of Transition

Byzantine Culture in the Islamic World

By: Edward Bleiberg,Lisa R. Brody,Steven Fine,Arnold E. Franklin,Alan Gampel,Claus-Peter Haase,Lyle Humphrey,Hieromonk Justin of Sinai,Annie Montgomery Labatt,Lawrence Nees,Robert Schick,Carol Snow

Building on the groundbreaking 2012 exhibition “Byzantium and Islam: Age of Transition,” which explored the transformations and continuities in the Byzantine Empire from the seventh to the ninth century, the present volume extends the exhibition catalogue’s innovative investigation of cultural interaction between Christian and Jewish communities and the world of Islam. Eleven essays by internationally distinguished scholars address such topics as the transmission of Christian imagery to the Mediterranean, icons preserved in The Holy Monastery of Saint Catherine at Sinai, interaction between Jewish communities and the Muslim world, the purposeful mutilation of figurative floor mosaics in places of worship, the evolution of classical and Byzantine motifs in a new cosmology for Muslim rulers, and interconnections in the realm of music. Each essay provides compelling evidence that the era of transition from Byzantine to Islamic rule in the eastern Mediterranean and North Africa resulted in unprecedented cultural cross-fertilization and significantly affected the development of the Mediterranean world for centuries to come.

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Page Count

173

Publisher

Metropolitan Museum of Art

Published Date

ISBN 10

0300211112

ISBN 13

9780300211115

Partial Differential Equations

By: Lawrence C. Evans

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Partial Differential Equations

By: Lawrence C. Evans

This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography. About the First Edition: I have used this book for both regular PDE and topics courses. It has a wonderful combination of insight and technical detail...Evans' book is evidence of his mastering of the field and the clarity of presentation (Luis Caffarelli, University of Texas) It is fun to teach from Evans' book. It explains many of the essential ideas and techniques of partial differential equations ...Every graduate student in analysis should read it. (David Jerison, MIT) I use Partial Differential Equations to prepare my students for their Topic exam, which is a requirement before starting working on their dissertation. The book provides an excellent account of PDE's ...I am very happy with the preparation it provides my students. (Carlos Kenig, University of Chicago) Evans' book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowledge ...An outstanding reference for many aspects of the field. (Rafe Mazzeo, Stanford University.

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Page Count

778

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821849743

ISBN 13

9780821849743

Measure Theory and Fine Properties of Functions

By: Lawrence Craig Evans,Ronald F. Gariepy

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Measure Theory and Fine Properties of Functions

By: Lawrence Craig Evans,Ronald F. Gariepy

This book provides a detailed examination of the central assertions of measure theory in n-dimensional 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 change-of-variable 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.

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Page Count

286

Publisher

CRC Press

Published Date

ISBN 10

0849371570

ISBN 13

9780849371578

Perspectives on Early Islamic Art in Jerusalem

By: Lawrence Nees

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Perspectives on Early Islamic Art in Jerusalem

By: Lawrence Nees

Through its material remains, Perspectives on Early Islamic Art in Jerusalem analyzes several overlooked aspects of the earliest decades of Islamic presence in Jerusalem, during the seventh century CE. Focusing on the Haram al-Sharif, also known as the Temple Mount, Lawrence Nees provides the first sustained study of the Dome of the Chain, a remarkable eleven-sided building standing beside the slightly later Dome of the Rock, and the first study of the meaning of the columns and column capitals with figures of eagles in the Dome of the Rock. He also provides a new interpretation of the earliest mosque in Jerusalem, the Haram as a whole, with the sacred Rock at its center.

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Page Count

260

Publisher

BRILL

Published Date

ISBN 10

9004302077

ISBN 13

9789004302075

Sexually Transmitted Diseases, Fourth Edition

By: King Holmes,P. Sparling,Walter Stamm,Peter Piot,Judith Wasserheit,Lawrence Corey,Myron Cohen

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Sexually Transmitted Diseases, Fourth Edition

By: King Holmes,P. Sparling,Walter Stamm,Peter Piot,Judith Wasserheit,Lawrence Corey,Myron Cohen

The most respected, all-in-one global STD reference -- now in full-color A Doody's Core Title! 5 STAR DOODY'S REVIEW! "With a level of detail that is unmatched by any other textbook in the field of sexually transmitted diseases (STDs), this book is the ultimate reference in this area . . . No question about it -- this book is the ultimate resource for information about sexually transmitted diseases. -- Doody's Review Service" With a level of detail and scientific rigor that no other text can match, Sexually Transmitted Diseases takes you through all aspects of STDs, from epidemiology to diagnosis and public health measures. Featuring an exciting new full-color format, the fourth edition of Sexually Transmitted Diseases delivers the most encyclopedic overview of the clinical, microbiological, and public health aspects of STDs, including HIV. Turn to any page, and you'll find essential coverage of critical new developments in vaccines and prevention, global epidemiology, new treatments, and much more. Features of the Fourth Edition: The ultimate sourcebook on STDs, with top-to-bottom coverage of all STDs and all etiologies, from bacteria to viruses and more Cutting-edge insights and clinically relevant perspectives from a distinguished roster of international authorities in medicine, infectious disease, and public health NEW! Brand-new chapters that cover: Drug Use and STDs, Cervical Cancer and STDs, Prevention of Opportunistic Infections in AIDS, Pregnancy and Bacterial STDs, Pregnancy and Perinatal Transmission of STDs, The Role of Primary Care Clinicians in Managing STDs, and STD and HIV Vaccines NEW! Eye-catching full-color format with hundreds of precise illustrations that drive home chapter concepts and help you visualize various conditions

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Age

Page Count

2195

Publisher

McGraw Hill Professional

Published Date

ISBN 10

0071417486

ISBN 13

9780071417488

Book's by Lawrence C. Evans

Calculus of Variations and Nonlinear Partial Differential Equations

Calculus of Variations and Nonlinear Partial Differential Equations

Weak Convergence Methods for Nonlinear Partial Differential Equations

Weak Convergence Methods for Nonlinear Partial Differential Equations

Viscosity Solutions and Applications

Viscosity Solutions and Applications

Partial Differential Equations

Partial Differential Equations

Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem

Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem

An Introduction to Stochastic Differential Equations

An Introduction to Stochastic Differential Equations

Age of Transition

Age of Transition

Partial Differential Equations

Partial Differential Equations

Measure Theory and Fine Properties of Functions

Measure Theory and Fine Properties of Functions

Perspectives on Early Islamic Art in Jerusalem

Perspectives on Early Islamic Art in Jerusalem

Sexually Transmitted Diseases, Fourth Edition

Sexually Transmitted Diseases, Fourth Edition

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