Research Article
Year 2016,
Volume: 45 Issue: 2, 367 - 371, 01.04.2016
Abstract
This paper gives a priori estimates and continuous dependence of the
solutions to fourth-order nonlinear wave equation.
Keywords
References
- 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.
Year 2016,
Volume: 45 Issue: 2, 367 - 371, 01.04.2016
Abstract
References
- 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.
There are 6 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Publication Date | April 1, 2016 |
| IZ | https://izlik.org/JA78PB66BH |
| Published in Issue | Year 2016 Volume: 45 Issue: 2 |