Distributions, Partial Differential Equations, and Harmonic Analysis

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning eithe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mitrea, Dorina (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Universitext,
Temas:
Differential equations.
Functional analysis.
Fourier analysis.
Potential theory (Mathematics).
Differential Equations.
Functional Analysis.
Fourier Analysis.
Potential Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Summary of Topological and Functional Analysis Results
  • Weak Derivatives
  • The Space D0() of Distributions
  • The Fourier Transform
  • The Space of Tempered Distributions
  • Fundamental Solution
  • The Laplace Operator
  • The Heat Operator
  • The Wave Operator
  • The Lame Operator
  • Fundamental Solutions for Other Operators
  • Hypoelliptic operators
  • Sobolev spaces
  • Appendix
  • References. .

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