Preprint 1996-004

Global Weak Entropy Solutions to Quasilinear Wave Equations of Klein--Gordon and Sine--Gordon Type

Pierangelo Marcati and Roberto Natalini


Abstract: We establish the existence of global Lipschitz continuous weak entropy solutions to the Cauchy problem for a class of quasilinear wave equations with an external positional force. We prove the consistency and the convergence of uniformly bounded finite--difference fractional step approximations. Therefore the uniform bound is shown to hold for globally Lipschitz continuous external forces.


Paper:
Available as PostScript
Title:
Global Weak Entropy Solutions to Quasilinear Wave Equations of Klein--Gordon and Sine--Gordon Type
Author(s):
Pierangelo Marcati
Roberto Natalini mailto:natalini@asterix.iac.rm.cnr.it
Publishing information:
Quaderno IAC n. 2, Gennaio 1995
Submitted by:
mailto:natalini@asterix.iac.rm.cnr.it July 2 1996.


[ 1996 Preprints | All Preprints | Preprint Server Homepage ]
The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

mailto:conservation@math.ntnu.no
Last modified: Tue Jul 2 17:46:18 1996
Сайт управляется системой uCoz