Fuchsian reduction : applications to geometry, cosmology, and mathematical physics
著者
書誌事項
Fuchsian reduction : applications to geometry, cosmology, and mathematical physics
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 71）
Birkhäuser, c2007
大学図書館所蔵 件 / 全19件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. [277]-285) and index
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より
