Topics in functional analysis and applications

By: S.KesavanMaterial type: TextTextPublication details: New Delhi: New Age International Limited Publishers, [c1989]Description: 267 pISBN: 9788122400625Subject(s): MathematicsLOC classification: QA320
Contents:
Chapter 1. Distributions Chapter 2. Sobolev Space Chapter 3. Weak Soluations of Elliptic Boundary Value Problems Chapter 4. Introduction to Semigroups and Applications Chapter 5. Some Techniques From Nonlinear Analysis
Summary: The Aim Of This Book Is To Give A Fairly Complete, Yet Simple, Treatment Of The Techniques From Functional Analysis Used In The Modern Theory Of Partial Differential Equations And Illustrate Their Applications Via Examples. The Book Provides An Introduction To The Theory Of Distributions, Sobolev Spaces And Semigroups And The Results Are Applied To The Study Of Weak Solutions Of Elliptic Boundary Value Problems And Evolution Equations. It Also Contains An Introduction To Some Techniques In Nonlinear Analysis And Touches Upon Some Of The Frontiers Of Current Research In That Area.The Material In The Text Is Supplemented By Four Appendices, Bibliographic Comments At The End Of Each Chapter And Several Exercises. These Exercises Are Fully Solved In A Companion Volume.
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Mathematics Rack No 5 QA320 (Browse shelf (Opens below)) Available 02518
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Chapter 1. Distributions
Chapter 2. Sobolev Space
Chapter 3. Weak Soluations of Elliptic Boundary Value Problems
Chapter 4. Introduction to Semigroups and Applications
Chapter 5. Some Techniques From Nonlinear Analysis

The Aim Of This Book Is To Give A Fairly Complete, Yet Simple, Treatment Of The Techniques From Functional Analysis Used In The Modern Theory Of Partial Differential Equations And Illustrate Their Applications Via Examples. The Book Provides An Introduction To The Theory Of Distributions, Sobolev Spaces And Semigroups And The Results Are Applied To The Study Of Weak Solutions Of Elliptic Boundary Value Problems And Evolution Equations. It Also Contains An Introduction To Some Techniques In Nonlinear Analysis And Touches Upon Some Of The Frontiers Of Current Research In That Area.The Material In The Text Is Supplemented By Four Appendices, Bibliographic Comments At The End Of Each Chapter And Several Exercises. These Exercises Are Fully Solved In A Companion Volume.

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