Díaz Díaz, GregorioDíaz Díaz, Jesús Ildefonso2023-06-202023-06-2020021578-7303https://hdl.handle.net/20.500.14352/59645We 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.engjournal articlehttp://www.rac.es/ficheros/doc/00074.pdfhttp://link.springer.com/open access519.216Energy balance climate modelsmultivalued parabolic stochastic partial differential equationsProcesos estocásticos1208.08 Procesos Estocásticos