Geometrical Optics and Related Topics (Progress in Nonlinear Differential Equations and Their Applications)

ISBN 10: 0817639586 ISBN 13: 9780817639587
Published by Birkhäuser Boston, 1997
New Hardcover

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Synopsis:

Blowup of small data solutions for a class of quasilinear wave equations in two dimensions: an outline of the proof.- Concentration effects in critical nonlinear wave equation and scattering theory.- Lower semicontinuity of weighted path length in BV.- Time decay of Lp norms for solutions of the wave equation on exterior domains.- Sobolev embeddings in Weyl-Hörmander calculus.- About the Cauchy problem for a system of conservation laws.- Global existence of the solutions and formation of singularities for a class of hyperbolic systems.- A class of solvable operators.- On the uniqueness of the Cauchy problem under partial analyticity assumptions.- Nonlinear wave diffraction.- Caustics for dissipative semilinear oscillations.- Geometric optics and the bottom of the spectrum.- Hypoellipticity for a class of infinitely degenerate elliptic operators.- Regularity of solutions to characteristic boundary value problem for symmetric systems.

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Bibliographic Details

Title: Geometrical Optics and Related Topics (...
Publisher: Birkhäuser Boston
Publication Date: 1997
Binding: Hardcover
Condition: New

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