Applied functional analysis
"Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveriesadding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-va…
Read More ↓Title Statements
- Full title :Applied functional analysis / Jean-Pierre Aubin ; exercises by Bernard Cornet and Jean-Michel Lasry ; translated by Carole Labrousse.
Summary
"Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveriesadding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-value problems for elliptic and parabolic partial differential equations and for systems of first-order partial differential equations."--Jacket.
Read More ↓Edition Statements
- Publication Date:©2000.
- Edition:2nd ed
Publication Statements
- Publisher(s):Wiley
- Place of Publication:New York
- Language:eng
- Publication Date:©2000.
Notes
"A Wiley-Interscience publication."
The Physical Object
- Description:xvi, 495 pages ; : 24 cm.
Edition Identifiers
- ISBN:0471179760, 9780471179764
- oclc:ocm41165229
- LC Classification:QA320
- Dewey Decimal:515/.7
Table of Contents
Introduction: A Guide to the Reader -- 1. The Projection Theorem -- 2. Theorems on Extension and Separation -- 3. Dual Spaces and Transposed Operators -- 4. The Banach and the Banach-Steinhaus Theorem -- 5. Construction of Hilbert Spaces -- 6. L[superscript 2] Spaces and Convolution Operators -- 7. Sobolev Spaces of Functions of One Variable -- 8. Some Approximation Procedures in Spaces of Functions -- 9. Sobolev Spaces of Functions of Several Variables and the Fourier Transform -- 10. Introduction to Set-Valued Analysis and Convex Analysis -- 11. Elementary Spectral Theory -- 12. Hilbert-Schmidt Operators and Tensor Products -- 13. Boundary Value Problems -- 14. Differential-Operational Equations and Semigroups of Operators -- 15. Viability Kernels and Capture Basins -- 16. First-Order Partial Differential Equations -- Selection of Results.
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