The study of long time existence of classical smooth solutions for second order quasilinear wave equations has received much attention (see e.g. [1] and the references given there). Results were also obtained for continuous semilinear waves with gradient jumps on a characteristic hypersurface in [2] and for C1 quasilinear waves with second order derivatives jumps on a characteristic hypersurface in [3], [4]. In this paper we show how the methods and results of [2] can be extended to a class of continuous weak solutions, with gradient jumps on a characteristic hypersurface, for some second order quasilinear balance laws.
@article{7522,
title = {Long time existence of a class of contact discontinuities for second - doi: 10.5269/bspm.v20i1-2.7522},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {23},
year = {2009},
doi = {10.5269/bspm.v20i1-2.7522},
language = {EN},
url = {http://dml.mathdoc.fr/item/7522}
}
Godin, Paul. Long time existence of a class of contact discontinuities for second - doi: 10.5269/bspm.v20i1-2.7522. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v20i1-2.7522. http://gdmltest.u-ga.fr/item/7522/