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
<natalini@asterix.iac.rm.cnr.it>
- Publishing information:
- Quaderno IAC n. 2, Gennaio 1995
- Submitted by:
- <natalini@asterix.iac.rm.cnr.it>
July 2 1996.
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