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Título:
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On a stochastic parabolic PDE arising in Climatology
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Autores:
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Díaz Díaz, Gregorio ;
Díaz Díaz, Jesús Ildefonso
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2002
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Procesos estocásticos
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Tipo = Artículo
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Resumen:
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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 ? 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 ?. We get some stability results when the white noise converges to zero.
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En línea:
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https://eprints.ucm.es/id/eprint/31164/1/187.pdf
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