The stochastic wave equations driven by fractional and colored noises

Authors
Citation
Tang, Dan, The stochastic wave equations driven by fractional and colored noises, Acta mathematica Sinica. English series (Print) , 26(6), 2010, pp. 1055-1070
ISSN journal
14398516
Volume
26
Issue
6
Year of publication
2010
Pages
1055 - 1070
Database
ACNP
SICI code
Abstract
We investigate a wave equation in the plane with an additive noise which is fractional in time and has a non-degenerate spatial covariance. The equation is shown to admit a process-valued solution. Also we give a continuity modulus of the solution, and the Hölder continuity is presented.