Long time existence of solutions for ∂2∂T2u(x,t) + ∂∂Tα(u(x,t)) = ∂2∂X2β(u(x,t))☆

[1]  D. Owen,et al.  Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids , 1986 .

[2]  Constantine M. Dafermos,et al.  Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics , 1985 .

[3]  Fritz John,et al.  Almost global existence to nonlinear wave equations in three space dimensions , 1984 .

[4]  W. Hrusa.  A nonlinear functional differential equation in Banach space with applications to materials with fading memory , 1983 .

[5]  S. Klainerman.  On “almost global” solutions to quasilinear wave equations in three space dimensions , 1983 .

[6]  F. John.  Lower bounds for the life-span of solutions of nonlinear wave equations in three dimensions. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[7]  M. Slemrod.  Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional non-linear thermoelasticity , 1981 .

[8]  M. Slemrod.  Instability of steady shearing flows in a non-linear viscoelastic fluid , 1978 .

[9]  A. Matsumura,et al.  Global Existence and Asymptotics of the Solutions of the Second-Order Quasilinear Hyperbolic Equations with the First-Order Dissipation , 1977 .

[10]  F. John.  Delayed singularity formation in solution of nonlinear wave equations in higher dimensions , 1976 .

[11]  Tosio Kato,et al.  The Cauchy problem for quasi-linear symmetric hyperbolic systems , 1975 .

[12]  F. Bloom.  A condition implying the global existence of C1 solutions for a class of nonlinear transmission lines , 1987 .

[13]  F. John.  Long time effects of nonlinearity in second order hyperbolic equations , 1986 .

[14]  J. Nohel,et al.  Energy methods for nonlinear hyperbolic volterra integrodifferential equations , 1979 .