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

• Κύριος συγγραφέας: Kichenassamy, Satyanad (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston, 2007.
• Σειρά: Progress in Nonlinear Differential Equations and Their Applications ; 71
• Θέματα: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Geometry.; Differential geometry.; Physics.; Space sciences.; Partial Differential Equations.; Applications of Mathematics.; Differential Geometry.; Mathematical Methods in Physics.; Extraterrestrial Physics, Space Sciences.

Fuchsian 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 sem...

Πίνακας περιεχομένων:

• 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.