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An Introduction to Sobolev Spaces and Interpolation Spaces

After publishing an introduction to the Navier-Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tartar, Luc (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Lecture Notes of the Unione Matematica Italiana, 3
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Historical Background
  • The Lebesgue Measure, Convolution
  • Smoothing by Convolution
  • Truncation; Radon Measures; Distributions
  • Sobolev Spaces; Multiplication by Smooth Functions
  • Density of Tensor Products; Consequences
  • Extending the Notion of Support
  • Sobolev's Embedding Theorem, 1 ? .