The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs - Couverture souple

Urbano, José Miguel Miguel

Couverture souple

ISBN 10 : 354075931X ISBN 13 : 9783540759317

Editeur : Springer, 2008

Synopsis

When I started giving talks on regularity theory for degenerate and sin- lar parabolic equations, a ?xed-point in the conversation during the co?- break that usually followed the seminar was the apparent contrast between the beauty of the subject and its technical di?culty. I could not agree more on the beauty part but, most of the times, overwhelmingly failed to convince my audience that the technicalities were not all that hard to follow. As in many other instances, it was the fact that the results in the literature were eventually stated and proved in their most possible generality that made the whole subject seem inexpugnable. So when I had the chance of preparing a short course on the method of intrinsic scaling, I decided to present the theory from scratch for the simplest model case of the degenerate p-Laplace equation and to leave aside technical re?nements needed to deal with more general situations. The ?rst part of the notes you are about to read is the result of that e?ort: an introductory and self-containedapproachtointrinsicscaling, aimingatbringingtolightwhatis really essential in this powerful tool in the analysis of degenerate and singular equations. As another striking feature of the method is its pervasiveness in terms of the applications, in the second part of the book, intrinsic scaling is applied to several models arising from ?ows in porous media, chemotaxis and phase transitions.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 354075931X
• ISBN 13: 9783540759317
• Reliure: Broché
• Nombre de pages: 164
• Coordonnées du fabricant: non disponible
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