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

Bibliographic Information

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

Satyanad Kichenassamy

(Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 71)

Birkhäuser, c2007

Available at  / 19 libraries

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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"

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Details

  • NCID
    BA83455125
  • ISBN
    • 9780817643522
  • LCCN
    2007932088
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Boston
  • Pages/Volumes
    xv, 289 p.
  • Size
    24 cm
  • Parent Bibliography ID
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