000			03503nam a22005295i 4500
001			978-0-8176-4637-0
003			DE-He213
005			20251006084437.0
007			cr nn 008mamaa
008			100301s2007 xxu| s |||| 0|eng d
020			_a9780817646370
020			_a99780817646370
024	7		_a10.1007/978-0-8176-4637-0 _2doi
082	0	4	_a515.353 _223
100	1		_aKichenassamy, Satyanad. _eauthor.
245	1	0	_aFuchsian Reduction _h[electronic resource] : _bApplications to Geometry, Cosmology, and Mathematical Physics / _cby Satyanad Kichenassamy.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2007.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Nonlinear Differential Equations and Their Applications ; _v71
505	0		_aFuchsian 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.
520			_aFuchsian reduction is a method for representing solutions of nonlinear PDEs near singularities. The technique has multiple applications including soliton theory, Einstein's equations and cosmology, stellar models, laser collapse, conformal geometry and combustion. Developed in the 1990s for semilinear wave equations, Fuchsian reduction research has grown in response to those problems in pure and applied mathematics where numerical computations fail. 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.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650		0	_aMATHEMATICAL PHYSICS.
650		0	_aASTROPHYSICS.
650		0	_aRELATIVITY (PHYSICS).
650	1	4	_aMATHEMATICS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aEXTRATERRESTRIAL PHYSICS, SPACE SCIENCES.
650	2	4	_aRELATIVITY AND COSMOLOGY.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643522
830		0	_aProgress in Nonlinear Differential Equations and Their Applications ; _v71
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4637-0 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59735 _d59735