An Introduction to Sobolev Spaces and Interpolation Spaces [1 ed.] 9783540714828, 9783540714835, 3540714820
After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar foll
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English Pages 219 [243] Year 2007
Table of contents :
Front Matter....Pages I-XXV
Historical Background....Pages 1-7
The Lebesgue Measure, Convolution....Pages 9-14
Smoothing by Convolution....Pages 15-16
Truncation; Radon Measures; Distributions....Pages 17-20
Sobolev Spaces; Multiplication by Smooth Functions....Pages 21-25
Density of Tensor Products; Consequences....Pages 27-31
Extending the Notion of Support....Pages 33-36
Sobolev's Embedding Theorem, 1 ≤
Front Matter....Pages I-XXV
Historical Background....Pages 1-7
The Lebesgue Measure, Convolution....Pages 9-14
Smoothing by Convolution....Pages 15-16
Truncation; Radon Measures; Distributions....Pages 17-20
Sobolev Spaces; Multiplication by Smooth Functions....Pages 21-25
Density of Tensor Products; Consequences....Pages 27-31
Extending the Notion of Support....Pages 33-36
Sobolev's Embedding Theorem, 1 ≤
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