Tartar, Luc.

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.

9783540714835

10.1007/978-3-540-71483-5 doi


Mathematics.
Functional analysis.
Differential equations, partial.
Mathematics.
Partial Differential Equations.
Functional Analysis.

QA370-380

515.353