On a non linear stochastic wave equation in the plane: existence and uniqueness of the solution
Millet, Annie ; Morien, Pierre-Luc
HAL, hal-00258030 / Harvested from HAL
Text on HAL
n this paper, we investigate the existence and uniqueness of the solution for a class of stochastic wave equations in two space-dimensions containing a non-linearity of polynomial type. The method used in the proofs combines functional analysis arguments with probabilistic tools, and furher estimates for the Green function associated with the classical wave equation.
Publié le : 2001-08-05
Classification:  stochastic partial differential equations,  wave equation,  Gaussian noise,  apriori estimates,  60H15 35J60,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{hal-00258030,
     author = {Millet, Annie and Morien, Pierre-Luc},
     title = {On a non linear stochastic wave equation in the plane: existence and uniqueness of the solution},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00258030}
}

Millet, Annie; Morien, Pierre-Luc. On a non linear stochastic wave equation in the plane: existence and uniqueness of the solution. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00258030/