On a nonlinear stochastic wave equation in the plane: existence and uniqueness of the solution
Millet, Annie ; Morien, Pierre-Luc
Ann. Appl. Probab., Tome 11 (2001) no. 2, p. 922-951 / Harvested from Project Euclid
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In 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 : 2001-08-14
Classification:  Stochastic partial differential equations,  wave equation,  Gaussian noise,  60H15,  35J60 
@article{1015345353,
     author = {Millet, Annie and Morien, Pierre-Luc},
     title = {On a nonlinear stochastic wave equation in the plane: existence
		 and uniqueness of the solution},
     journal = {Ann. Appl. Probab.},
     volume = {11},
     number = {2},
     year = {2001},
     pages = { 922-951},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1015345353}
}

Millet, Annie; Morien, Pierre-Luc. On a nonlinear stochastic wave equation in the plane: existence
		 and uniqueness of the solution. Ann. Appl. Probab., Tome 11 (2001) no. 2, pp.  922-951. http://gdmltest.u-ga.fr/item/1015345353/