Dissipative wave equations constitute an extensive class of partial differential equations wherein damping terms play a pivotal role in governing the long-term dynamics of the system. Recent ...

Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

SIAM Journal on Numerical Analysis, Vol. 54, No. 2 (2016), pp. 1093-1119 (27 pages) A fully discrete approximation of the semilinear stochastic wave equation driven by multiplicative noise is ...

We consider the wave equations with perturbation of the first order differential operators, the coefficients of which depend on both the space and time variables. Under suitable conditions on the ...

Beijing Zhongke Journal Publising Co. Ltd. The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound implications ...