02425cam a2200313Ia 4500001000800000005001700008008004100025010001700066020001500083020001800098035002400116035002100140035001700161040005300178082001900231100003500250245011200285260003300397300002500430490007800455504006600533505075000599520056101349650003701910650002801947650002801975650002602003830008202029633688820140730115230.0070608s2007 mau b 001 0 eng d a 2007932088 a0817643524 a9788184893830 a(OCoLC)ocn141385300 a(OCoLC)141385300 a(NNC)6336888 aYDXCPcYDXdBTCTAdBAKERdOHXdUUMdNNCdOrLoB-B a515.353bKIC-F1 aKichenassamy, Satyanad,d1963-10aFuchsian reduction :bapplications to geometry, cosmology and mathematical physics cSatyanad Kichenassamy. aBoston :bBirkhauser,c2007. axv, 289 p. ;c25 cm.1 aProgress in nonlinear differential equations and their applications ;v71 aIncludes bibliographical references (p. [277]-285) and index.00g1.tIntroduction -- gPt. I.tFuchsian Reduction -- g2.tFormal Series -- g3.tGeneral Reduction Methods -- gPt. II.tTheory of Fuchsian Partial Differential Equations -- g4.tConvergent Series Solutions of Fuchsian Initial-Value Problems -- g5.tFuchsian Initial-Value Problems in Sobolev Spaces -- g6.tSolution of Fuchsian Elliptic Boundary-Value Problems -- gPt. III.tApplications -- g7.tApplications in Astronomy -- g8.tApplications in General Relativity -- g9.tApplications in Differential Geometry -- g10.tApplications to Nonlinear Waves -- g11.tBoundary Blowup for Nonlinear Elliptic Equations -- gPt. IV.tBackground Results -- g12.tDistance Function and Holder Spaces -- g13.tNash-Moser Inverse Function Theorem.1 a"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. 0aDifferential equations, Partial. 0aGeometry, Differential. 0aCosmologyxMathematics. 0aMathematical physics. 0aProgress in nonlinear differential equations and their applications ;vv. 71.