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An Introduction to Sobolev Spaces and Interpolation Spaces
Title:
An Introduction to Sobolev Spaces and Interpolation Spaces
Author:
Tartar, Luc. author.
ISBN:
9783540714835
Personal Author:
Physical Description:
XXV, 219 p. online resource.
Series:
Lecture Notes of the Unione Matematica Italiana, 3
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 ? .
Abstract:
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 now revised and polished it into a text accessible to a larger audience.
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