Geometrical Optics and Related Topics: 32 (Progress in Nonlinear Differential Equations & Their Applications) - Hardcover

Hardcover

ISBN 10: 0817639586 ISBN 13: 9780817639587

Verlag: Birkhäuser, 1997

Inhaltsangabe

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.

Über diesen Titel

Reseña del editor

This volume contains 14 research papers, which cover various topics, including blowup questions for quasilinear equations in 2-D, uniqueness results for systems of conservation laws in 1-D, conservation effects for critical nonlinear wave equations, diffraction of nonlinear waves, propagation of singularities in scattering theory,and caustics for semilinear oscillations. Other topics linked to microlocal analysis which are discussed are Sobolev spaces in Weyl-Hormander calculus, local solvability for pseudodifferential equations, and hypoellipticity for highly degenerate operators. A result for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for the characteristic initial boundary value problem are also included. Most of the papers contain detailed proofs which are accessible to graduate students and active researchers in connected areas.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 1997
• Sprache: Englisch
• ISBN 10: 0817639586
• ISBN 13: 9780817639587
• Einband: Tapa dura
• Anzahl der Seiten: 380
• Herausgeber: Colombini Ferrucio, Lerner Nicolas
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar