Functional analysis, Sobolev spaces and partial differential equations /
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Main Authors: | |
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Published: |
Springer ; 北京市 : 世界图书出版公司北京公司,
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Publisher Address: | New York ; London : |
Publication Dates: | 2015. |
Literature type: | Book |
Language: | English |
Edition: | 第1版, 影印版. |
Series: |
Universitext
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Subjects: | |
Carrier Form: | xiii, 599 pages : illustrations ; 24 cm. |
Bibliography: | Includes bibliographical references (pages 585-594) and index. |
ISBN: |
9787510096778 7510096774 |
Index Number: | QA320 |
CLC: | O17 |
Call Number: | O17/B848 |
Contents: | The Hahn-Banach theorems : introduction to the theory of conjugate convex functions -- The uniform boundedness principle and the closed graph theorem -- Weak topologies, reflexive spaces, separable spaces, uniform convexity -- Lp spaces -- Hilbert spaces -- Compact operators, spectral decomposition of self-adjoint compact operators -- The Hille-Yosida theorem -- Sobolev spaces and the variational formulation of boundary value problems in one dimension -- Sobolev spaces and the variational formulation of elliptic boundary value problems in N dimensions -- Evolution problems : the heat equation and the wave equation -- Miscellaneous complements. |