ENGLISH

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

By José Miguel Urbano (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
354075931X, 9783540759317
DOI
10.1007/978-3-540-75932-4
LCC
QA433 .U73 2008
Open Library ID
OL17041174M
Language
english
Format
PDF
Filesize
1 MB (1209413 bytes)
Series
Lecture Notes in Mathematics 1930
Edition
1
Pages
154\156
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11
Partial Differential Equations

Description

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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