Following the ideas of D. Serre and J. Shearer (1993), we prove in this paper the existence of a weak solution of the Cauchy problem for a given second order quasilinear hyperbolic equation.
@article{urn:eudml:doc:44534, title = {On the existence of weak solutions to the Cauchy problem for a class of quasilinear hyperbolic equations with a source term.}, journal = {Revista Matem\'atica de la Universidad Complutense de Madrid}, volume = {17}, year = {2004}, pages = {147-167}, zbl = {1053.35100}, mrnumber = {MR2063946}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44534} }
Caetano, Filipa. On the existence of weak solutions to the Cauchy problem for a class of quasilinear hyperbolic equations with a source term.. Revista Matemática de la Universidad Complutense de Madrid, Tome 17 (2004) pp. 147-167. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44534/