Functional analysis, Sobolev spaces and partial differential equations /
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Author / Creator: | Brézis, H. (Haim) |
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Imprint: | New York ; London : Springer, c2011. |
Description: | 1 online resource (xiii, 599 p.) |
Language: | English |
Series: | Universitext |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8895690 |
Table of 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.