The method of intrinsic scaling : a systematic approach to regularity for degenerate and singular PDEs
著者
書誌事項
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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注記
Includes bibliographical references (p. [145]-148) and index
内容説明・目次
内容説明
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.
目次
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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