Asymptotics of solutions to semilinear stochastic wave equations
| dc.creator | Chow, Pao-Liu | |
| dc.date | 2006-07-04 | |
| dc.date.accessioned | 2026-07-07T07:18:00Z | |
| dc.date.available | 2026-07-07T07:18:00Z | |
| dc.description | Large-time asymptotic properties of solutions to a class of semilinear stochastic wave equations with damping in a bounded domain are considered. First an energy inequality and the exponential bound for a linear stochastic equation are established. Under appropriate conditions, the existence theorem for a unique global solution is given. Next the questions of bounded solutions and the exponential stability of an equilibrium solution, in mean-square and the almost sure sense, are studied. Then, under some sufficient conditions, the existence of a unique invariant measure is proved. Two examples are presented to illustrate some applications of the theorems. | |
| dc.description | Published at http://dx.doi.org/10.1214/105051606000000141 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0607097 | |
| dc.identifier | http://arxiv.org/abs/math/0607097 | |
| dc.identifier | Annals of Applied Probability 2006, Vol. 16, No. 2, 757-789 | |
| dc.identifier | doi:10.1214/105051606000000141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114149 | |
| dc.subject | Probability | |
| dc.subject | 60H15 (Primary) 60H05 (Secondary) | |
| dc.title | Asymptotics of solutions to semilinear stochastic wave equations | |
| dc.type | text |