The Method of Intrinsic Scaling : A Systematic Approach to Regularity for Degenerate and Singular PDEs

This set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs. In the first part, the theory is presented from scratch for the model case...

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Auteur principal: Urbano, José Miguel, 19..-
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Édition:1st ed. 2008.
Collection:Lecture Notes in Mathematics (Internet) 1930
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Note: L'impression du document génère 155 p.
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Edition sous un autre format:• The method of intrinsic scaling, a systematic approach to regularity for degenerate and singular PDEs, José Miguel Urbano, Berlin, Springer, 2008, 1 vol. (X-150 p.), Lecture notes in mathematics, 978-3-540-75931-7
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Résumé:This set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs. In the first part, the theory is presented from scratch for the model case of the degenerate p-Laplace equation. This approach brings to light what is really essential in the method, leaving aside technical refinements needed to deal with more general equations, and is entirely self-contained. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions. The aim is to convince the reader of the strength of the method as a systematic approach to regularity for this important class of equations
Description:L'impression du document génère 155 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliographie:Bibliogr. Index
ISBN:9783540759324
ISSN:1617-9692
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