Some applications of functional analysis in mathematical physics
著者
書誌事項
Some applications of functional analysis in mathematical physics
（Translations of mathematical monographs, v. 90）
American Mathematical Society, 2008, c1991
3rd ed
- : soft
- タイトル別名
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Nekotorye primenenii︠a︡ funkt︠s︡ionalʹnogo analiza v matematicheskoĭ fizike
Некоторые применения функционального анализа в математической физике
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注記
Reprint.
Translated from the Russian by Harold H. McFaden
Includes bibliographical references and index
内容説明・目次
内容説明
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 second-order 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.
目次
Special problems of functional analysis Variational methods in mathematical physics The theory of hyperbolic partial differential equations Comments Appendix: Methode nouvelle a resoudre le probleme de Cauchy pour les equations lineaires hyperboliques normales Comments on the appendix Bibliography Index.
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