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

Revista Matemática Complutense (2004)

- Volume: 17, Issue: 1, page 147-167
- ISSN: 1139-1138

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topCaetano, Filipa. "On the existence of weak solutions to the Cauchy problem for a class of quasilinear hyperbolic equations with a source term.." Revista Matemática Complutense 17.1 (2004): 147-167. <http://eudml.org/doc/44534>.

@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 -

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