Fuchsian Reduction

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Kichenassamy, Satyanad. Fuchsian Reduction Applications to Geometry, Cosmology, and Mathematical Physics / by Satyanad Kichenassamy. -
XV, 289 p. online resource. - (Progress in Nonlinear Differential Equations and Their Applications, 71) Content notes : Fuchsian 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. 9780817646370 * Geometry. Differential equations, partial. Mathematics. Global differential geometry. Mathematical physics. Astrophysics. Geometry. Partial Differential Equations. Applications of Mathematics. Differential Geometry. Mathematical Methods in Physics. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). * Series