RT Journal Article
T1 On a stochastic parabolic PDE arising in Climatology
A1 Díaz Díaz, Gregorio
A1 Díaz Díaz, Jesús Ildefonso
AB 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.
PB Springer
SN 1578-7303
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/59645
UL https://hdl.handle.net/20.500.14352/59645
LA eng
NO DGES (Spain)
NO RTN of the European Commission
DS Docta Complutense
RD 27 abr 2025