| The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs 2008 Edition Contributor(s): Urbano, José Miguel (Author) |
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ISBN: 354075931X ISBN-13: 9783540759317 Publisher: Springer OUR PRICE: $47.49 Product Type: Paperback - Other Formats Published: May 2008 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial |
| Dewey: 515.353 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.36" H x 6.14" W x 9.21" (0.54 lbs) 154 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions. |