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The method of intrinsic scaling : a systematic approach to regularity for degenerate and singular PDEs / / Jose Miguel Urbano



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Autore: Urbano Jose Miguel <1970-> Visualizza persona
Titolo: The method of intrinsic scaling : a systematic approach to regularity for degenerate and singular PDEs / / Jose Miguel Urbano Visualizza cluster
Pubblicazione: Berlin, : Springer, c2008
Edizione: 1st ed. 2008.
Descrizione fisica: 1 online resource (X, 154 p.)
Disciplina: 515.353
Soggetto topico: Scalar field theory
Differential equations, Partial
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references (p. [145]-148) and index.
Nota di contenuto: pt. 1. The method of intrinsic scaling -- pt. 2. Some applications.
Sommario/riassunto: 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.
Titolo autorizzato: The Method of Intrinsic Scaling  Visualizza cluster
ISBN: 3-540-75932-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910483514303321
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Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1930.