Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems.
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Publication:1428424
DOI10.1016/J.NA.2003.10.022zbMath1043.35103OpenAlexW2066078240MaRDI QIDQ1428424
Publication date: 29 March 2004
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2003.10.022
First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (6)
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system ⋮ Global solution to the generalized Riemann problem in the presence of a boundary and contact discontinuities ⋮ Shock reflection for general quasilinear hyperbolic systems of conservation laws ⋮ An inverse piston problem with small BV initial data ⋮ Breakdown of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems ⋮ Global existence of weakly discontinuous solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems
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