02612nam 2200553 a 450 991048351430332120200520144314.03-540-75932-810.1007/978-3-540-75932-4(CKB)1000000000437242(SSID)ssj0000318912(PQKBManifestationID)11241205(PQKBTitleCode)TC0000318912(PQKBWorkID)10329698(PQKB)10097164(DE-He213)978-3-540-75932-4(MiAaPQ)EBC3068752(PPN)12705216X(EXLCZ)99100000000043724220080122d2008 uy 0engurnn|008mamaatxtccrThe method of intrinsic scaling a systematic approach to regularity for degenerate and singular PDEs /Jose Miguel Urbano1st ed. 2008.Berlin Springerc20081 online resource (X, 154 p.) Lecture notes in mathematics,0075-8434 ;1930Bibliographic Level Mode of Issuance: Monograph3-540-75931-X Includes bibliographical references (p. [145]-148) and index.pt. 1. The method of intrinsic scaling -- pt. 2. Some applications.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.Lecture notes in mathematics (Springer-Verlag) ;1930.Scalar field theoryDifferential equations, PartialScalar field theory.Differential equations, Partial.515.353Urbano Jose Miguel1970-472520MiAaPQMiAaPQMiAaPQBOOK9910483514303321The Method of Intrinsic Scaling2831266UNINA