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

Posted on 2010-03-16




Name:Science/Engineering The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs
ASIN/ISBN:354075931X
Language:English
File size:1.15 Mb
Publisher: Springer
Publish Date: 2008
ISBN: 354075931X
File Type: PDF
Pages: 150 pages
File Size: 1,15 Mb
   Science/Engineering The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs



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Jose Miguel Urbano «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 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.

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