Satyanad Kichenassamy
Fuchsian Reduction
Applications to Geometry, Cosmology and Mathematical Physics
Gebonden Engels 2007 2007e druk 9780817643522Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780817643522
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:289
Uitgever:Birkhäuser Boston
Druk:2007
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Inhoudsopgave
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 Hölder Spaces.- Nash–Moser Inverse Function Theorem.
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