Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation. (English) Zbl 0371.35030


35L15 Initial value problems for second-order hyperbolic equations
35L60 First-order nonlinear hyperbolic equations
35L20 Initial-boundary value problems for second-order hyperbolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B40 Asymptotic behavior of solutions to PDEs
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