Fuchsian reduction : applications to geometry, cosmology, and mathematical physics

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. TOC:Fuchsian reduction - Theory of Fuchsian Partial Differential Equation - Applications -References- Index

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• ISBN: 9780817643522 ; 0817643524
• Dimensions: 24 cm
• Extent: XV, 289 S.
• Language: Englisch
• Notes: Literaturverz. S. 277 - 285

References and Relationships

• Bibliographic citation: Progress in non-linear differential equations and their applications ; Vol. 71

Classification and Topics

• Keyword: Nichtlineares Differentialgleichungssystem ; System von partiellen Differentialgleichungen ; Ordnungsreduktion ; Fuchs-Differentialgleichung

Contributors, Places and Time

• Event: Veröffentlichung
• (where): Boston, Basel, Berlin
• (who): Birkhäuser
• (when): 2007
• Creator: Kichenassamy, Satyanad

Further information

• Table of contents: https://d-nb.info/971958971/04
• Rights: Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
• Last update: 11.06.2025, 1:40 PM CEST