Rovira Escofet, CarlesSanz-Solé, Marta2020-03-052020-03-051997https://hdl.handle.net/2445/152108Preprint 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]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.15 p.application/pdfeng(c) Carles Rovira et al., 1997Càlcul de MalliavinEquacions diferencials estocàstiquesEquacions integrals estocàstiquesUniversitat de Barcelona. Institut de Matemàticainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess