Partial Differential Equations
Search in google:
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 Booknews A survey of modern techniques in the theoretical study of partial differential equations focusing on nonlinear equations. Includes treatments of the energy methods within Sobolev spaces; regularity for second-order elliptic, parabolic, and hyperbolic equations; the multidimensional calculus of variations; viscosity solutions of Hamilton-Jacobi equations; and shock waves and entropy criteria for conservation laws. Intended for graduate students and research mathematicians. Annotation c. by Book News, Inc., Portland, Or.
Preface1Introduction1Pt. IRepresentation Formulas for Solutions2Four Important Linear PDE173Nonlinear First-Order PDE914Other Ways to Represent Solutions167Pt. IITheory for Linear Partial Differential Equations5Sobolev Spaces2396Second-Order Elliptic Equations2937Linear Evolution Equations349Pt. IIITheory for Nonlinear Partial Differential Equations8The Calculus of Variations4319Nonvariational Techniques49110Hamilton - Jacobi Equations53911Systems of Conservation Laws567App. A: Notation613App. BInequalities621App. CCalculus Facts626App. DLinear Functional Analysis635App. EMeasure Theory645BibliographyIndex655
