TY - JOUR
T1 - Global Weakly Discontinuous Solutions to a Kind of Mixed Initial-boundary Value Problem for Inhomogeneous Quasilinear Hyperbolic Systems
JO - Journal of Partial Differential Equations
VL - 4
SP - 365
EP - 384
PY - 2007
DA - 2007/11
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5315.html
KW - CInhomogeneous quasilinear hyperbolic system
KW - mixed initial-boundary value problem
KW - global weakly discontinuous solution
KW - weak linear degeneracy
KW - matching condition
AB -  In this paper we study the mixed initial-boundary value problem for inhomogeneous quasilinear hyperbolic systems in the domain D = {(t, x) | t ≥ 0, x ≥ 0}. Under the assumption that the source term satisfies the matching condition, a sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution is given.