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Fuchsian Reduction: Applications to Geometry, Cosmology, and Mathematical Physics

Satyanad Kichenassamy

Resumen/Descripción – provisto por la editorial

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Disponibilidad

Institución detectada	Año de publicación	Navegá	Descargá	Solicitá
No detectada	2007	SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-8176-4352-2

ISBN electrónico

978-0-8176-4637-0

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

2007

Información sobre derechos de publicación

Cobertura temática

Matemáticas

Ciencias físicas

Tabla de contenidos

Verificá que desde tu institución tengas acceso para descargar o solicitar el libro completo o alguno de sus capítulos.

doi: 10.1007/978-0-8176-4637-0_1

Introduction

Satyanad Kichenassamy

Palabras clave: Stable Manifold; Liouville Equation; Nonlinear Wave Equation; Wave Operator; Cauchy Data.

- Introduction | Pp. 1-19

doi: 10.1007/978-0-8176-4637-0_2

Formal Series

Satyanad Kichenassamy

Part I - Fuchsian Reduction | Pp. 23-43

doi: 10.1007/978-0-8176-4637-0_3

General Reduction Methods

Satyanad Kichenassamy

Palabras clave: Cauchy Problem; Singular Term; Group Invariance; Cauchy Data; Autonomous Equation.

Part I - Fuchsian Reduction | Pp. 45-66

doi: 10.1007/978-0-8176-4637-0_4

Convergent Series Solutions of Fuchsian Initial-Value Problems

Satyanad Kichenassamy

Palabras clave: Fundamental Matrix; Contraction Mapping Principle; Fuchsian System; Regular Singular Point; Fuchsian Equation.

Part II - Theory of Fuchsian Partial Di?erential Equations | Pp. 69-84

doi: 10.1007/978-0-8176-4637-0_5

Fuchsian Initial-Value Problems in Sobolev Spaces

Satyanad Kichenassamy

Palabras clave: Sobolev Space; Liouville Equation; Singular System; Symmetric System; Optimal Regularity.

Part II - Theory of Fuchsian Partial Di?erential Equations | Pp. 85-104

doi: 10.1007/978-0-8176-4637-0_6

Solution of Fuchsian Elliptic Boundary-Value Problems

Satyanad Kichenassamy

Palabras clave: Dirichlet Problem; Bounded Solution; Smooth Data; Direct Computation Yield; Generalize Fourier Series.

Part II - Theory of Fuchsian Partial Di?erential Equations | Pp. 105-118

doi: 10.1007/978-0-8176-4637-0_7

Applications in Astronomy

Satyanad Kichenassamy

Palabras clave: Radiation Pressure; Helium Atom; Singular Solution; Inverse Function Theorem; Fuchsian System.

Part III - Applications | Pp. 121-127

doi: 10.1007/978-0-8176-4637-0_8

Applications in General Relativity

Satyanad Kichenassamy

Palabras clave: Constraint Equation; Hyperbolic Space; Singularity Data; Fuchsian System; Geodesic Loop.

Part III - Applications | Pp. 129-142

doi: 10.1007/978-0-8176-4637-0_9

Applications in Differential Geometry

Satyanad Kichenassamy

Palabras clave: Classical Solution; Formal Solution; Ricci Tensor; Boundary Regularity; Fuchsian System.

Part III - Applications | Pp. 143-162

doi: 10.1007/978-0-8176-4637-0_10

Applications to Nonlinear Waves

Satyanad Kichenassamy

Palabras clave: Nonlinear Wave; Singular Solution; Nonlinear Wave Equation; Detonation Front; Spacelike Hypersurface.

Part III - Applications | Pp. 163-215