On the existence of weak solutions to the Cauchy problem for a class of quasilinear hyperbolic equations with a source term.

@article{Caetano2004,
abstract = {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. },
author = {Caetano, Filipa},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones diferenciales hiperbólicas; Ecuaciones diferenciales cuasilineales; Problema de Cauchy; Solución débil; Teorema de existencia; conservation laws; viscosity approximation; compensated compactness; Young measures},
language = {eng},
number = {1},
pages = {147-167},
title = {On the existence of weak solutions to the Cauchy problem for a class of quasilinear hyperbolic equations with a source term.},
url = {http://eudml.org/doc/44534},
volume = {17},
year = {2004},
}

TY - JOUR
AU - Caetano, Filipa
TI - On the existence of weak solutions to the Cauchy problem for a class of quasilinear hyperbolic equations with a source term.
JO - Revista Matemática Complutense
PY - 2004
VL - 17
IS - 1
SP - 147
EP - 167
AB - 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.
LA - eng
KW - Ecuaciones diferenciales hiperbólicas; Ecuaciones diferenciales cuasilineales; Problema de Cauchy; Solución débil; Teorema de existencia; conservation laws; viscosity approximation; compensated compactness; Young measures
UR - http://eudml.org/doc/44534
ER -