The method of intrinsic scaling
Subtitle: a systematic approach to regularity for degenerate and singular PDEs
By: José Miguel Urbano.
Series: Lecture notes in mathematics -- 1930; Lecture notes in mathematics (Springer-Verlag) -- 1930.
Publisher: Springer
Published: 2008
Place of publication: Berlin
Language: eng
Number of pages: 150
ISBN-13: 9783540759317
Subjects: Scalar field theory; Differential equations, Partial
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."--Jacket.
Notes: Includes bibliographical references (p. [145]-148) and index.