Expository Lectures from the CBMS Regional Conference held at Loyola University of Chicago June 27-July 1, 1988 Research supported by National Science Foundation Grants CDR-85-00108 and DMS-86- 10730. 2000 Mathematics Subject Classification. Primary 35A05, 35A15, 35B50, 35J60, 35L60, 35L65, 46E35 Secondary 58-XX. Library of Congress Cataloging-in-Publication Dat a Evans, Lawrence C , 1949- Weak convergence methods for nonlinear partial differential equations/ Lawrence C. Evans, p. cm. (Regional Conference series in mathematics, 0160-7642 v. 74) "Expository lectures from the CBMS Regional Conference held at Loyola University of Chicago, June 27-July 1, 1988."-T.p. verso. Includes bibliographical references (p.). ISBN 0-8218-0724-2 (alk. paper) 1. Differential equations, Partial. 2. Differential equations, Nonlinear. 3. Convergence. I. Conference Board of the Mathematical Sciences. IL Title. III. Series. QA1.R33 no. 74 [QA377] 510 s—dc20 89-27844 [515'.353] CIP Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294, USA. Requests can also be made by e-mail to reprint-permission@ams.org. © 1990 by the American Mathematical Society. All rights reserved. Third printing with corrections. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. @ The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 14 13 12 11 10 09
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