Fuchsian Reduction : Applications to Geometry, Cosmology, and Mathematical Physics
Fuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities. The technique has multiple applications including soliton theory, Einstein's equations and cosmology, stellar models, laser collapse, conformal geometry and combustion. Developed in the 1990s for sem...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2007. |
| Collection: | Progress in Nonlinear Differential Equations and Their Applications
71 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
L'impression du document génère 297 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Fuchsian reduction, applications to geometry, cosmology and mathematical physics, Satyanad Kichenassamy, 2007, Boston, Birkhauser, 1 vol. (XV-289 p.), Progress in nonlinear differential equations and their applications, 0-8176-4352-4 |
Table des matières:
- Fuchsian Reduction Formal Series General Reduction Methods Theory of Fuchsian Partial Di?erential Equations Convergent Series Solutions of Fuchsian Initial-Value Problems Fuchsian Initial-Value Problems in Sobolev Spaces Solution of Fuchsian Elliptic Boundary-Value Problems Applications Applications in Astronomy Applications in General Relativity Applications in Differential Geometry Applications to Nonlinear Waves Boundary Blowup for Nonlinear Elliptic Equations Background Results Distance Function and Hölder Spaces Nash Moser Inverse Function Theorem.