Continuous dependence of solutions to fourth-order nonlinear wave equation
This paper gives a priori estimates and continuous dependence of the
solutions to fourth-order nonlinear wave equation.
___
- K.A. Ames, B. Straughan, Non-Standard and Improperly Posed Problems, in: Mathematics in science and Engineering series, vol.194, Academic Press, San Diego, 1997.
- Xu Run-zhang ,Zhao Xi-ren, Shen Ji-hong, Asymptotic behaviour of solution for
fourth order wave equation with dispersive and dissipative terms, Appl. Math. Mech.-
Engl. Ed., 29(2), 259-262, 2008.
- Guo-wang Chen, Chang-shun Hou, Initial value problem for a class of fourth-order
nonlinear wave equations, Appl. Math. Mech.-Engl. Ed. 30(3), 391-401, 2009.
- Shang Yadong, Initial boundary value problem of equation utt − ∆u − ∆ut − ∆utt =
f(u), Acta Mathematicae Applicate Sinica 23(3), 385-393, 2000.
- Liu Yacheng, Li Xiaoyuan, Some remarks on the equation utt − ∆u − ∆ut − ∆utt =
f(u), Journal of Natural Science of Heilongjiang University 21(3),1-6, 2004.
- Gusheng Tang, yan Liu and Wenhui Liao, Spatial Behavior of a Coupled System of
Wave-Plate Type, Abstract and Applied Analysis, Volume 2014, Article ID 853693,
13 pages.