Volume 20, Issue 4
Global Weakly Discontinuous Solutions to a Kind of Mixed Initial-boundary Value Problem for Inhomogeneous Quasilinear Hyperbolic Systems

Fei Guo

DOI:

J. Part. Diff. Eq., 20 (2007), pp. 365-384.

Published online: 2007-11

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  • 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.

  • Keywords

CInhomogeneous quasilinear hyperbolic system mixed initial-boundary value problem global weakly discontinuous solution weak linear degeneracy matching condition

  • AMS Subject Headings

35L40 35L50 35L60.

  • Copyright

COPYRIGHT: © Global Science Press

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