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
Autor principal: Tartar, Luc (-)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Berlin ; New York : Springer c2007.
Edición:1st ed. 2007.
Colección:Lecture notes of the Unione Matematica Italiana ; 3.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461063706719
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 ? .