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Lecture notes on functional analysis : with applications to linear partial differential equations / Alberto Bressan.

By: Material type: TextTextSeries: Graduate studies in mathematics ; v 143.Publication details: Providence : American Mathematical Society, c2013.Description: xii, 250 p. : illustrations ; 26 cmISBN:
  • 9780821887714 (alk. paper)
Subject(s): DDC classification:
  • 515.7 23 B843
Contents:
1. Introduction-- 2. Banach spaces-- 3. Spaces of continuous functions-- 4. Bounded linear operators-- 5. Hilbert spaces-- 6. Compact operators on a Hilbert space-- 7. Semigroups of linear operators-- 8. Sobolev spaces-- 9. Linear partial differential equations-- Appendix: Background material-- Summary of notation-- Bibliography-- Index.
Summary: This book is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.7 B843 (Browse shelf(Opens below)) Available 136164
Total holds: 0

Includes bibliographical references (pages 245-246) and index.

1. Introduction--
2. Banach spaces--
3. Spaces of continuous functions--
4. Bounded linear operators--
5. Hilbert spaces--
6. Compact operators on a Hilbert space--
7. Semigroups of linear operators--
8. Sobolev spaces--
9. Linear partial differential equations--
Appendix: Background material--
Summary of notation--
Bibliography--
Index.

This book is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics.

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