Description

Book Synopsis
Addressed to graduate students in mathematics and 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.

Table of Contents
  • Introduction
  • Banach spaces
  • Spaces of continuous functions
  • Bounded linear operators
  • Hilbert spaces
  • Compact operators on a Hilbert space
  • Semigroups of linear operators
  • Sobolev spaces
  • Linear partial differential equations
  • Background material
  • Summary of notation
  • Bibliography
  • Index

Lecture Notes on Functional Analysis With Applications to Linear Partial Differential Equations

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    A Paperback by Alberto Bressan

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      View other formats and editions of Lecture Notes on Functional Analysis With Applications to Linear Partial Differential Equations by Alberto Bressan

      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 1/30/2013 12:00:00 AM
      ISBN13: 9781470465728, 978-1470465728
      ISBN10: 1470465728

      Description

      Book Synopsis
      Addressed to graduate students in mathematics and 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.

      Table of Contents
      • Introduction
      • Banach spaces
      • Spaces of continuous functions
      • Bounded linear operators
      • Hilbert spaces
      • Compact operators on a Hilbert space
      • Semigroups of linear operators
      • Sobolev spaces
      • Linear partial differential equations
      • Background material
      • Summary of notation
      • Bibliography
      • Index

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