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

Fei Guo

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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@Article{JPDE-20-365, author = {Fei Guo }, 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/}, url = {http://global-sci.org/intro/article_detail/jpde/5315.html} }
TY - JOUR T1 - Global Weakly Discontinuous Solutions to a Kind of Mixed Initial-boundary Value Problem for Inhomogeneous Quasilinear Hyperbolic Systems AU - Fei Guo 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.
Fei Guo . (2007). Global Weakly Discontinuous Solutions to a Kind of Mixed Initial-boundary Value Problem for Inhomogeneous Quasilinear Hyperbolic Systems. Journal of Partial Differential Equations. 20 (4). 365-384. doi:
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