EXISTENCE OF A WEAK SOLUTION FOR A QUASI- LINEAR WAVE-EQUATION WITH ASEMILINEAR SOURCE-TERM

Authors
DIAS JP FIGUEIRA M
Citation
Jp. Dias et M. Figueira, EXISTENCE OF A WEAK SOLUTION FOR A QUASI- LINEAR WAVE-EQUATION WITH ASEMILINEAR SOURCE-TERM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(7), 1996, pp. 619-624
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
7
Year of publication
1996
Pages
619 - 624
Database
ISI
SICI code
0764-4442(1996)322:7<619:EOAWSF>2.0.ZU;2-#
Abstract
We prove in this Note, by applying the compensated compactness method, following the ideas of Tartar [5] and DiPerna [1], the existence, in R x [0, +infinity[, of a weak solution for the Cauchy problem for the quasilinear equation phi(tt)-phi(xx)-phi(x)(2) phi(xx)+phi(3)=0.