Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

ISBN 10: 3764321687 / ISBN 13: 9783764321680

Verlag: Springer, 2003

Beschreibung

pp. vii + 437.

Bestandsnummer des Verkäufers 2614418865

Bibliografische Details

• Titel: Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations
• Verlag: Springer
• Erscheinungsjahr: 2003
• Sprache: Englisch
• ISBN-10: 3764321687
• ISBN-13: 9783764321680
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

This volume focuses on recent developments in non-linear and hyperbolic equations. In the first contribution, the singularities of the solutions of several classes of non-linear partial differential equations are investigated. Applications concern the Monge-Ampere equation, quasi-linear systems arising in fluid mechanics as well as integro-differential equations for media with memory. There follows an article on L_p-L_q decay estimates for Klein-Gordon equations with time-dependent coefficients, explaining, in particular, the influence of the relation between the mass term and the wave propagation speed. The next paper addresses questions of local existence of solutions, blow-up criteria, and C^8 regularity for quasilinear weakly hyperbolic equations. Spectral theory of semibounded selfadjoint operators is the topic of a further contribution, providing upper and lower bounds for the bottom eigenvalue as well as an upper bound for the second eigenvalue in terms of capacitary estimates.

Reseña del editor

This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".