Translations of Mathematical Monographs 1991; 286 pp; softcover Volume: 90 ISBN10: 0821819372 ISBN13: 9780821819371 List Price: US$99 Member Price: US$79.20 Order Code: MMONO/90.S
 This book presents the theory of functions spaces, now known as Sobolev spaces, which are widely used in the theory of partial differential equations, mathematical physics, and numerous applications. The author also treats the variational method of solution of boundary value problems for elliptic equations, including those with boundary conditions given on manifolds of different dimensions. In addition, the theory of the Cauchy problem for secondorder hyperbolic equations with variable coefficients is studied. The book is intended for researchers in mathematics and mathematical physics and would be useful to undergraduate and graduate students taking advanced courses in these areas. Readership Undergraduate and graduate students interested in analysis. Table of Contents  Special problems of functional analysis
 Variational methods in mathematical physics
 The theory of hyperbolic partial differential equations
 Comments
 Appendix: Méthode nouvelle à résoudre le problème de Cauchy pour les équations linéaires hyperboliques normales
 Comments on the appendix
 Bibliography
 Index
