ISBN-10:
354075931X
ISBN-13:
9783540759317
Pub. Date:
05/20/2008
Publisher:
Springer Berlin Heidelberg
The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs / Edition 1

The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs / Edition 1

by Josï Miguel UrbanoJosï Miguel Urbano

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Overview

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.

Product Details

ISBN-13: 9783540759317
Publisher: Springer Berlin Heidelberg
Publication date: 05/20/2008
Series: Lecture Notes in Mathematics , #1930
Edition description: 2008
Pages: 154
Product dimensions: 6.10(w) x 9.20(h) x 0.40(d)

Table of Contents

Introduction.- Part I The Method of Intrinsic Scaling: Weak Solutions and A Priori Estimates.- The Geometric Setting and an Alternative.- Towards the Hölder Continuity.- Part II Some Applications: Immiscible Fluids and Chemotaxis.- Flows in porous Media: the Variable Exponent Case.- Phase Transitions: the Doubly Singular Stefan Problem.- References.- Index.

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