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008			150903s2007 xxu| o |||| 0|eng d
020			_a9780817646370 _99780817646370
024	7		_a10.1007/9780817646370 _2doi
035			_avtls000333588
039		9	_a201509030205 _bVLOAD _c201404130454 _dVLOAD _c201404092244 _dVLOAD _y201402041115 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA370-380
100	1		_aKichenassamy, Satyanad. _eautor _9305973
245	1	0	_aFuchsian Reduction : _bApplications to Geometry, Cosmology, and Mathematical Physics / _cby Satyanad Kichenassamy.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2007.
300			_brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aProgress in Nonlinear Differential Equations and Their Applications ; _v71
500			_aSpringer eBooks
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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817643522
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4637-0 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c280791 _d280791