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Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics: 71 (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover
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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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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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Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics (Progress in Nonlinear Differential Equations and Their Applications)
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Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics (Progress in Nonlinear Differential Equations and Their Applications)
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Fuchsian Reduction
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Springer-Verlag Gmbh Sep 2007, 2007
ISBN 10: 0817643524
ISBN 13: 9780817643522
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 289 pp. Englisch. Bestandsnummer des Verkäufers 9780817643522
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Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics (Progress in Nonlinear Differential Equations and Their Applications, 71)
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Fuchsian Reduction : Applications to Geometry, Cosmology, and Mathematical Physics
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9780817643522
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