Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics: 71 (Progress in Nonlinear Differential Equations and Their Applications) - Tapa dura

Kichenassamy, Satyanad

 
9780817643522: Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics: 71 (Progress in Nonlinear Differential Equations and Their Applications)
Tapa dura
ISBN 10: 0817643524 ISBN 13: 9780817643522
Editorial: Birkhäuser, 2007

Sinopsis

This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. 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. The comprehensive approach features the inclusion of problems and bibliographic notes.

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De la contraportada

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.

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Editorial
Birkhäuser
Año de publicación
2007
Idioma
Inglés
ISBN 10 
0817643524
ISBN 13 
9780817643522
Encuadernación
Tapa dura
Número de páginas
312
Contacto del fabricante
no disponible
Persona responsable
no disponible