Fuchsian reduction
applications to geometry, cosmology and mathematical physics
Kichenassamy, Satyanad
1963-
creator
text
bibliography
mau
Boston
Birkhauser
2007
monographic
eng
xv, 289 p. ; 25 cm.
"This work unfolds systematically in four parts, interweaving theory and applications. The case studies examined in Part III illustrate the impact of reduction techniques, and may serve as prototypes for future new applications. In the same spirit most chapters include a problem section. Background results and solutions to selected problems close the volume." "This book can be used as a text in graduate courses in pure or applied analysis, or as a resource for researchers working with singularities in geometry and mathematical physics."--BOOK JACKET.
1. Introduction -- Pt. I. Fuchsian Reduction -- 2. Formal Series -- 3. General Reduction Methods -- Pt. II. Theory of Fuchsian Partial Differential Equations -- 4. Convergent Series Solutions of Fuchsian Initial-Value Problems -- 5. Fuchsian Initial-Value Problems in Sobolev Spaces -- 6. Solution of Fuchsian Elliptic Boundary-Value Problems -- Pt. III. Applications -- 7. Applications in Astronomy -- 8. Applications in General Relativity -- 9. Applications in Differential Geometry -- 10. Applications to Nonlinear Waves -- 11. Boundary Blowup for Nonlinear Elliptic Equations -- Pt. IV. Background Results -- 12. Distance Function and Holder Spaces -- 13. Nash-Moser Inverse Function Theorem.
Satyanad Kichenassamy.
Includes bibliographical references (p. [277]-285) and index.
Differential equations, Partial
Geometry, Differential
Cosmology
Mathematics
Mathematical physics
515.353 KIC-F
Progress in nonlinear differential equations and their applications ; v. 71
0817643524
9788184893830
2007932088
YDXCP
070608
20140730115230.0
6336888