Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics

Satyanad Kichenassamy

ISBN 10: 0817643524 / ISBN 13: 9780817643522

Editore: Birkhauser Boston Inc, 2007

New copy - Usually dispatched within 7-11 working days. Codice articolo B9780817643522

Riassunto:

Fuchsian Reduction is a method for explicitly representing solutions of nonlinear PDEs near singularities. The technique has multiple applications in soliton theory, Einstein's equations and cosmology, stellar models, laser collapse, conformal geometry and combustion. Developed in the 1990s for semilinear wave equations, Fuchsian Reduction research has grown in response to those problems in pure and applied mathematics, where numerical computations fail. The exposition unfolds systematically in four parts, with theory and applications nicely interwoven. The methods used in various applications examined in Part III may serve as prototypes for future new applications. Background results in weighted Sobolev and Holder spaces as well as Nash--Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra or as a resource for researchers working with applications to Fuchsian Reduction.

Dalla quarta di copertina:

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 semilinear wave equations, Fuchsian reduction research has grown in response to those problems in pure and applied mathematics where numerical computations fail.

This work unfolds systematically in four parts, interweaving theory and applications. The case studies examined in Part III illustrate the impact of reduction techniques, and may serve as prototypes for future new applications. In the same spirit, most chapters include a problem section. Background results and solutions to selected problems close the volume.

This book can be used as a text in graduate courses in pure or applied analysis, or as a resource for researchers working with singularities in geometry and mathematical physics.

Dati bibliografici

Titolo: Fuchsian Reduction: Applications to Geometry...
Casa editrice: Birkhauser Boston Inc
Data di pubblicazione: 2007
Legatura: Hardback
Condizione: New