The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs: 1930 (Lecture Notes in Mathematics) - Softcover

Urbano, José Miguel Miguel

Softcover

ISBN 10: 354075931X ISBN 13: 9783540759317

Verlag: Springer, 2008

Inhaltsangabe

<P>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.</P>

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From the reviews:

"This book concerns the regularity theory for degenerate and singular parabolic equations and the focus is on a particular subject – the Hölder continuity of solutions. ... The aim of this book is to describe in details the method of intrinsic scaling ... and to convince the reader of the strength of this approach to regularity, by giving evidence of its wide applicability in different situations. ... The book will be very useful for researchers from different branches of mathematical physics." (Vladimir N. Grebenev, Zentralblatt MATH, Vol. 1158, 2009)

Reseña del editor:

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.

Über diese Auflage

• Verlag: Springer
• Erscheinungsdatum: 2008
• ISBN 10: 354075931X
• ISBN 13: 9783540759317
• Einband: Tapa blanda
• Anzahl der Seiten: 164