An Explicit Lower Bound for Blow Up Time in a Class of Nonlinear Wave Equations with Nonlinear Damping and Source Terms
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10255-021-0995-y.pdf
Reference28 articles.
1. Andrews, G. On the existence of solutions to the equation utt = uxxt + σ(ux)x. J. Diff. Eqns., 35: 200–231 (1980)
2. Andrews, G., Ball, J. Asymptotic behaviour and changes of phase in one-diemnsional nonlinear visco-elasticity. J. Diff. Eqns., 44: 306–341 (1982)
3. Ang, D.D., Dinh, A.P.N. Strong solutions of quasilinear wave equation with nonlinear damping. SIAM. J. Math. Anal, 19: 337–347 (1988)
4. Ang, D.D., Dinh, A.P.N. On the strong damped wave equation utt −Δu − Δut + f(u) = 0. SIAM. J. Math. Anal, 19: 1409–1418 (1988)
5. Clements, J.C. On the existence and uniqueness of solutions of the equation $${u_{tt}} - {\partial \over {\partial {x_i}}}{\sigma _i}\left({{u_{{x_i}}}} \right) - {{\rm{\Delta}}_N}{u_t} = f$$. Canad. Math. Bull, 18: 181–187 (1975)
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