
José Miguel Miguel Urbano, "The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs "
English | ISBN: 354075931X | 2008 | 164 pages | PDF | 3 MB
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. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions.
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