@Article{JPDE-20-4, author = {}, title = {Global Weakly Discontinuous Solutions to a Kind of Mixed Initial-boundary Value Problem for Inhomogeneous Quasilinear Hyperbolic Systems}, journal = {Journal of Partial Differential Equations}, year = {2007}, volume = {20}, number = {4}, pages = {365--384}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/2007-JPDE-5315}, url = {https://global-sci.com/article/88482/global-weakly-discontinuous-solutions-to-a-kind-of-mixed-initial-boundary-value-problem-for-inhomogeneous-quasilinear-hyperbolic-systems} }