Díaz, G.; Díaz, J. I. On a stochastic parabolic PDE arising in climatology. (English) Zbl 1011.60044 RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 96, No. 1, 123-128 (2002). The energy balance models considered in the paper under review describe the meridional change of temperature together with a south-north heat flux by the balance of absorbed and emitted radiative energy of the earth, in the form of set-valued stochastic PDE. As opposed to previous papers of the first author on the same subject, the system is forced by a space-time white noise. In contrast to a former paper by North and Calahan the absorbed energy functional contains a greyness factor which is supposed to be set-valued. Questions of existence and uniqueness of solutions in this framework are discussed. The stochastic perturbation acts in a stabilizing way: deterministic non-uniqueness phenomena are seen to vanish as the noise is turned on. Reviewer: Peter Imkeller (Berlin) Cited in 5 Documents MSC: 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 35R60 PDEs with randomness, stochastic partial differential equations 86A99 Geophysics PDFBibTeX XMLCite \textit{G. Díaz} and \textit{J. I. Díaz}, RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 96, No. 1, 123--128 (2002; Zbl 1011.60044)