03366nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001600172100003700188245014000225264004600365300002100411336002600432337002600458338003600484347002400520490007800544505061100622520099801233650001702231650003702248650003402285650002602319650001802345650002602363650001702389650003602406650003302442650002702475650003702502650004602539650003002585710003402615773002002649776003602669830007802705856010102783978-0-8176-4637-0DE-He21320260521092029.0cr nn 008mamaa100301s2007    xxu|    s    |||| 0|eng d  a9780817646370  a997808176463707 a10.1007/978-0-8176-4637-02doi04a515.3532231 aKichenassamy, Satyanad.eauthor.10aFuchsian Reductionh[electronic resource] :bApplications to Geometry, Cosmology, and Mathematical Physics /cby Satyanad Kichenassamy. 1aBoston, MA :bBirkhäuser Boston,c2007.  bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aProgress in Nonlinear Differential Equations and Their Applications ;v710 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.  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. 0aMATHEMATICS. 0aDIFFERENTIAL EQUATIONS, PARTIAL. 0aGLOBAL DIFFERENTIAL GEOMETRY. 0aMATHEMATICAL PHYSICS. 0aASTROPHYSICS. 0aRELATIVITY (PHYSICS).14aMATHEMATICS.24aPARTIAL DIFFERENTIAL EQUATIONS.24aAPPLICATIONS OF MATHEMATICS.24aDIFFERENTIAL GEOMETRY.24aMATHEMATICAL METHODS IN PHYSICS.24aEXTRATERRESTRIAL PHYSICS, SPACE SCIENCES.24aRELATIVITY AND COSMOLOGY.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817643522 0aProgress in Nonlinear Differential Equations and Their Applications ;v7140uhttp://dx.doi.org/10.1007/978-0-8176-4637-0zVer el texto completo en las instalaciones del CICY