Smoothness of the Functional Law Generated by a Nonlinear SPDE
Smoothness of the Functional Law Generated by a Nonlinear SPDE
摘要
The authors consider a stochastic heat equation in dimension d=1 driven by an additive space time white noise and having a mild nonlinearity.It is proved that the functional law of its solution is absolutely continuous and possesses a smooth density with respect to the functional law of the corresponding linear SPDE.
基金
the grant MTM 2006-01351 from the Dirección General de Investigación,Ministerio de Educación y Ciencia,Spain.
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