@Article{JPDE-32-4, author = {Li, Donghao and Zhang, Hongwei and Qingying, Hu}, title = {General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {4}, pages = {369--380}, abstract = {

In this paper, we consider a nonlinear wave equation with nonlocal damping and nonlinear boundary damping. We prove a general energy decay property for solutions in terms of coefficient of the frictional boundary damping by using of the multiplier technique from the idea of Martinez [1]. Our result extends and improves the result in the literature such as the work by Lourêdo, Ferreira de Araújo and Mirandain [2] in which only exponential energy decay is considered. Furthermore, we get also the energy decay for the equation with nonlocal damping only but without nonlinear boundary damping.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n4.6}, url = {https://global-sci.com/article/88194/general-energy-decay-of-solutions-for-a-wave-equation-with-nonlocal-damping-and-nonlinear-boundary-damping} }