An Introduction to Sobolev Spaces and Interpolation Spaces

• Main Author: Tartar, Luc (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes of the Unione Matematica Italiana, 3
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Analysis.; Partial Differential Equations.; Functional Analysis.

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...

Table of Contents:

• 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 ? .