%0 Journal Article
%A Díaz Díaz, Gregorio
%A Díaz Díaz, Jesús Ildefonso
%T On a stochastic parabolic PDE arising in Climatology
%D 2002
%@ 1578-7303
%U https://hdl.handle.net/20.500.14352/59645
%X We study the existence and uniqueness of solutions of a nonlinear stochastic pde proposed by R. North and R. F. Cahalan in 1982 for the modeling of non-deterministic variability (as, for instance, the volcano actions) in the framework of energy balance climate models. The more delicate point concerns the uniqueness of solutions due to the presence of a multivalued graph β in the right hand side of the equation. In contrast with the deterministic case, it is possible to prove the uniqueness of a suitable weak solution associated to each given monotone (univalued and discontinuous) section b of the maximal monotone graph β. We get some stability results when the white noise converges to zero.
%~