We study the existence and regularity of densities for the solution of a nonlinear heat diffusion with stochastic perturbation of Brownian and fractional Brownian motion type: we use the Malliavin calculus in order to prove that, if the nonlinear term is suitably regular, then the law of the solution has a smooth density with respect to the Lebesgue measure.
Existence and regularity of the density for solutions of stochastic differential equations with boundary noise / Bonaccorsi, Stefano; Zanella, Margherita. - In: INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. - ISSN 0219-0257. - 2016, 19:1(2016). [10.1142/S0219025716500077]
Existence and regularity of the density for solutions of stochastic differential equations with boundary noise
Bonaccorsi, Stefano;
2016-01-01
Abstract
We study the existence and regularity of densities for the solution of a nonlinear heat diffusion with stochastic perturbation of Brownian and fractional Brownian motion type: we use the Malliavin calculus in order to prove that, if the nonlinear term is suitably regular, then the law of the solution has a smooth density with respect to the Lebesgue measure.| File | Dimensione | Formato | |
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