Preprint 1996004
Global Weak Entropy Solutions to Quasilinear Wave Equations of KleinGordon and SineGordon 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 finitedifference 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
KleinGordon and SineGordon 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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