# Semi-linear wave equations with effective damping

## Related Articles

- Global existence and pointwise estimates of solutions to generalized Benjamin-Bona-Mahony equations in multi dimensions. Xu, Hongmei; Liang, Yan // Chinese Annals of Mathematics;Aug2014, Vol. 35 Issue 4, p659
This paper is concerned with the global existence and pointwise estimates of solutions to the generalized Benjamin-Bona-Mahony equations in all space dimensions. By using the energy method, Fourier analysis and pseudo-differential operators, the global existence and pointwise convergence rates...

- Nondispersive solutions to the L-critical Half-Wave Equation. Krieger, Joachim; Lenzmann, Enno; Raphaël, Pierre // Archive for Rational Mechanics & Analysis;Jul2013, Vol. 209 Issue 1, p61
We consider the focusing L-critical half-wave equation in one space dimension, , where D denotes the first-order fractional derivative. Standard arguments show that there is a critical threshold $${M_{*} > 0}$$ such that all H solutions with $${\|u\|_{L^2} < M_*}$$ extend globally in time, while...

- Global Existence and Asymptotic Behavior of Solutions to the Generalized Damped Boussinesq Equation. Yinxia Wang; Hengjun Zhao // Advances in Mathematical Physics;2013, p1
We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condition on the initial value, we prove the global existence and optimal decay estimate of solutions for all space dimensions n â©¾ 1. Moreover, when n â©¾ 2, we show that the solution can be...

- The almost global and global existence for quasi-linear wave equations with multiple-propagation speeds in high dimensions. Du, Yi; Yao, Zheng // Acta Mathematica Sinica;Jun2011, Vol. 27 Issue 6, p1205
In this paper, we consider the Cauchy problem for systems of quasi-linear wave equations with multiple propagation speeds in spatial dimensions n â‰¥ 4. The problem when the nonlinearities depend on both the unknown function and their derivatives is studied. Based on some Klainerman-Sideris...

- Global existence and asymptotic behavior of solutions to a nonlinear wave equation of fourth-order. Wang, Yu-Zhu; Wang, Yin-Xia // Journal of Mathematical Physics;Jan2012, Vol. 53 Issue 1, p013512
In this paper we focus on the Cauchy problem for a nonlinear wave equation of fourth-order in n-dimensional space (n >= 1), the decay structure of which is of regularity-loss property. Based on the decay estimate of solutions to the linear problem, we introduce a set of time-weighted Sobolev...

- The Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity. Kharibegashvili, S.; Dzhokhadze, O. // Siberian Mathematical Journal;Nov2013, Vol. 54 Issue 6, p1120
The questions are studied of existence and uniqueness of a global solution to the Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity. Under consideration are the existence of local solutions and the absence of global solutions.

- Asymptotic Periodicity for Strongly Damped Wave Equations. Cuevas, Claudio; Lizama, Carlos; Soto, Herme // Abstract & Applied Analysis;2013, p1
This work deals with the existence and uniqueness of asymptotically almost-periodic mild solutions for a class of strongly damped semilinear wave equations.

- Non-existence of Global Solutions to a Wave Equation with Fractional Damping. Berbiche, Mohamed; Hakem, Ali // International Journal of Applied Mathematics;2011, Vol. 41 Issue 1, p56
No abstract available.

- Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms. Ouchenane, D.; Zennir, Kh.; Bayoud, M. // Ukrainian Mathematical Journal;Oct2013, Vol. 65 Issue 5, p723
The global existence and nonexistence of solutions for a system of nonlinear wave equations with degenerate damping and source terms supplemented with initial and Dirichlet boundary conditions was shown by Rammaha and Sakuntasathien in a bounded domain Î© âŠ‚ $ {{\mathbb{R}}^n} $ ,...