Decay rate of quasilinear wave equation with viscosity

Author:

Qin Yu-ming,Liu Xin,Deng Shu-xian

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference12 articles.

1. Ebihara, Y. On some nonlinear evolution equations with the strong dissipation. J. Differential Equations, 30: 149–164 (1998)

2. Greenberg, J. On the existence, uniqueness and stablity of the equation ρX tt = E(X xx)+X xxt. J. Math. Anal. Appl., 25: 575–591 (1969)

3. Greenberg, J., MacCamy, R., Mizel, V. On the existence, uniqueness and stablity of the equation σ′(u x)u xx−λu xxt = ρu tt. J. Math. Mech., 17: 707–728 (1968)

4. Ikehata, R., Matsuyama, T., Nakao, M. Global solutions to the initial-boundary value problem for quasilinear viscoelastic wave equation with a perturbation. Funkcialaj. Ekvacij., 40: 293–312 (1997)

5. Kawashima, S., Shibata, Y. Global existence and exponential stablity of small solutions to nonlinear viscoelasticity, Comm. Math. Phys., 148: 189–208 (1992)

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