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Stochastic Volterra equations in the plane: smoothness of the law

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Preprint enviat per a la seva publicació en una revista científica: Stochastic Analysis and Applications, 2002, Vol. 19, Núm. 6, pp. 983-1004. [https://doi.org/10.1081/SAP-120000757]

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We give sufficient conditions ensuring the smoothness of the density for the law of the solution of Volterra equations in the plane. One of the motivations for the study of such class of equations is provided by non-linear hyperbolic stochastic partial differential equations appearing in the construction of some path-valued processes on manifolds. The proof is based on Malliavin Calculus.

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Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 37.21]

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Preprints de Matemàtiques - Mathematics Preprint Series

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Universitat de Barcelona. Institut de Matemàtica

# metadata.dc.title[].value
Stochastic Volterra equations in the plane: smoothness of the law