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An Introduction to Sobolev Spaces and Interpolation Spaces [electronic resource] /by Luc Tartar.

by Tartar, Luc [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes of the Unione Matematica Italiana: 3Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: XXV, 219 p. online resource.ISBN: 9783540714835.Subject(s): Mathematics | Functional analysis | Differential equations, partial | Mathematics | Partial Differential Equations | Functional AnalysisDDC classification: 515.353 Online resources: Click here to access online
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 ? .
In: Springer eBooksSummary: 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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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 ? .

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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