Fuchsian reduction : applications to geometry, cosmology, and mathematical physics
Author(s)
Bibliographic Information
Fuchsian reduction : applications to geometry, cosmology, and mathematical physics
(Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 71)
Birkhäuser, c2007
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
KIC||1||2200021326342
Note
Includes bibliographical references (p. [277]-285) and index
Description and Table of Contents
Description
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.
Table of Contents
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 Hoelder Spaces.- Nash-Moser Inverse Function Theorem.
by "Nielsen BookData"