<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">RENHAI WANG</style></author><author><style face="normal" font="default" size="100%">YANGRONG LI</style></author><author><style face="normal" font="default" size="100%">FUZHI LI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">PROBABILISTIC ROBUSTNESS FOR DISPERSIVE-DISSIPATIVE WAVE EQUATIONS DRIVEN BY SMALL LAPLACE-MULTIPLIER NOISE</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35B40</style></keyword><keyword><style  face="normal" font="default" size="100%">35B41</style></keyword><keyword><style  face="normal" font="default" size="100%">37L30</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2018</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2018</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/27/1/9.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">27</style></volume><pages><style face="normal" font="default" size="100%">20</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;This paper is devoted to limit-dynamics for dispersive-dissipative&amp;nbsp;wave equations on an unbounded domain. An interesting feature is that the stochastic&amp;nbsp;term is multiplied by an unbounded Laplace operator. A random attractor in&amp;nbsp;the Sobolev space is obtained when the density of noise is small and the growth rate&amp;nbsp;of nonlinearity is subcritical. The random attractor is upper semicontinuous to the&lt;br /&gt;
global attractor when the density of noise tends to zero. Both methods of spectrum&amp;nbsp;and tail-estimate are combined to prove the collective limit-set compactness. Furthermore,&amp;nbsp;a probabilistic method is used to show that the robustness of attractors is&amp;nbsp;basically uniform in probability.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><section><style face="normal" font="default" size="100%">165</style></section></record></records></xml>