000 02575cam a2200373Ia 4500
001 6336888
005 20140730115230.0
008 070608s2007 mau b 001 0 eng d
010 _a 2007932088
020 _a0817643524
020 _a9788184893830
035 _a(OCoLC)ocn141385300
035 _a(OCoLC)141385300
035 _a(NNC)6336888
040 _aYDXCP
_cYDX
_dBTCTA
_dBAKER
_dOHX
_dUUM
_dNNC
_dOrLoB-B
082 _a515.353
_bKIC-F
090 _aQA374
_b.K52 2007
100 1 _aKichenassamy, Satyanad,
_d1963-
245 1 0 _aFuchsian reduction :
_bapplications to geometry, cosmology and mathematical physics
_cSatyanad Kichenassamy.
260 _aBoston :
_bBirkhauser,
_c2007.
300 _axv, 289 p. ;
_c25 cm.
490 1 _aProgress in nonlinear differential equations and their applications ;
_v71
504 _aIncludes bibliographical references (p. [277]-285) and index.
505 0 0 _g1.
_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.
520 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.
650 0 _aDifferential equations, Partial.
650 0 _aGeometry, Differential.
650 0 _aCosmology
_xMathematics.
650 0 _aMathematical physics.
830 0 _aProgress in nonlinear differential equations and their applications ;
_vv. 71.
900 _bTOC
942 _2ddc
_cBK
948 1 _a20071114
_bc
_csds12
_dMPS
999 _c9085
_d9085