TY - BOOK AU - ED - SpringerLink (Online service) TI - An Introduction to Sobolev Spaces and Interpolation Spaces T2 - Lecture Notes of the Unione Matematica Italiana, SN - 9783540714835 AV - QA370-380 U1 - 515.353 23 PY - 2007/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Functional analysis KW - Differential equations, partial KW - Partial Differential Equations KW - Functional Analysis N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-540-71483-5 ER -