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024 7 $a10.1007/978-3-540-75932-4
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035   $a(DE-He213)978-3-540-75932-4
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100   $a20100301d2008      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 14$aThe Method of Intrinsic Scaling$b[electronic resource] $eA Systematic Approach to Regularity for Degenerate and Singular PDEs /$fby José Miguel Urbano
205   $a1st ed. 2008.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008.
215   $a1 online resource (X, 154 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1930
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-75931-X 
320   $aIncludes bibliographical references (p. [145]-148) and index.
327   $aThe Method of Intrinsic Scaling -- Weak Solutions and a Priori Estimates -- The Geometric Setting and an Alternative -- Towards the Hölder Continuity -- Some Applications -- Immiscible Fluids and Chemotaxis -- Flows in Porous Media: The Variable Exponent Case -- Phase Transitions: The Doubly Singular Stefan Problem.
330   $aThis set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs. In the first part, the theory is presented from scratch for the model case of the degenerate p-Laplace equation. This approach brings to light what is really essential in the method, leaving aside technical refinements needed to deal with more general equations, and is entirely self-contained. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions. The aim is to convince the reader of the strength of the method as a systematic approach to regularity for this important class of equations.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1930
606   $aPartial differential equations
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aPartial differential equations.
615 14$aPartial Differential Equations.
676   $a515.353
700   $aUrbano$b José Miguel$4aut$4http://id.loc.gov/vocabulary/relators/aut$0472520
906   $aBOOK
912   $a996466514703316
996   $aThe Method of Intrinsic Scaling$92831266
997   $aUNISA