The method of intrinsic scaling : a systematic approach to regularity for degenerate and singular PDEs
Author(s)
Bibliographic Information
The method of intrinsic scaling : a systematic approach to regularity for degenerate and singular PDEs
（Lecture notes in mathematics, 1930）
Springer, c2008
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1930200005161217
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Note
Includes bibliographical references (p. [145]-148) and index
Description and Table of Contents
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. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions.
Table of Contents
The Method of Intrinsic Scaling.- Weak Solutions and a Priori Estimates.- The Geometric Setting and an Alternative.- Towards the Hoelder Continuity.- Some Applications.- Immiscible Fluids and Chemotaxis.- Flows in Porous Media: The Variable Exponent Case.- Phase Transitions: The Doubly Singular Stefan Problem.
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