文档介绍：Translations ofMATHEMATICALMONOGRAPHSVolume 90Some Applicationsof Functional Analysisin Mathematical PhysicsThird EditionS. L. SobolevUAmerican Mathematical SocietyTranslations ofMATHEMATICALMONOGRAPHSVolume 90Some Applicationsof Functional Analysisin Mathematical PhysicsThird EditionS. L. SobolevAmerican Mathematical SocietyProvidence, Rhode IslandC. A. Co6onenHEKOTOPbIE IIPYIMEHEHL B-bYHKIIYIOHAJIbHOI'O AHAJII43AB MATEMATHLIECKOPIH3IIAHME TPETbEeHAYKAN, MOCKBA, 1988Translated from the Russian by Harold H. McFaden2000 Mathematics Subject Classification. Primary 46-XX; Secondary 35-. This is an exposition of the theory of the function spaces now called Sobolev spaces,which are widely used in the theory of partial differential equations, mathematical physics, andnumerous applications; of the variational method of solution of boundary value problems for ellipticequations, including those with boundary conditions given on manifolds of different dimensions;and of the theory of the Cauchy problem for second-order hyperbolic equations with book is intended for researchers in mathematics and mathematical physics, as well asgraduate students and students in advanced : 12 figuresBibliography: 339 of Congress Cataloging-in-Publication DataSobolev, S. L. (Sergei L'vovich), 1908-[Nekotorye primeneniia funktsional'nogo analiza v matematicheskoi fizike. English)Some applications of functional analysis in mathematical physics/S. L Sobolev.-3rd . cm.-(Translations of mathematical monographs; v. 90)Translation of: Nekotorye primeneniia funktsional'nogo analiza v matematicheskoi bibliographical 0-8218-4549-71. Functional . Differential equations, . Calculus of . Boundary value . Mathematical . . -19869515'.7-dc20CIPAMS softcover ISBN 978-0-8218-1937-1? 1991 by the American Mathematical Soci