An Introduction to Sobolev Spaces and Interpolation Spaces [electronic resource] /
by Luc Tartar.
- XXV, 219 p. online resource.
- Lecture Notes of the Unione Matematica Italiana, 3 1862-9113 ; .
- Lecture Notes of the Unione Matematica Italiana, 3 .
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?.
ZDB-2-SMA
After publishing an introduction to the NavierStokes 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.