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

• Main Author: Urbano, José Miguel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1930
• Subjects: Mathematics.; Partial differential equations.; Partial Differential Equations.

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...

Table of Contents:

• The Method of Intrinsic Scaling
• Weak Solutions and a Priori Estimates
• The Geometric Setting and an Alternative
• Towards the Hölder Continuity
• Some Applications
• Immiscible Fluids and Chemotaxis
• Flows in Porous Media: The Variable Exponent Case
• Phase Transitions: The Doubly Singular Stefan Problem.