Variational solutions for a class of fractional stochastic partial differential equations

David Nualart (1) , Pierre-A. Vuillermot (2)

1 Facultat de Matematiques
2 IECN - Institut Élie Cartan de Nancy

In this note we present new results regarding the existence, the uniqueness and the equivalence of two notions of variational solution related to a class of non autonomous, semilinear, stochastic partial differential equations defined on an open bounded domain $D \in \Bbb R^d$. The equations we consider are driven by an infinite-dimensional noise derived from an $L^2(D)$-valued fractional Wiener process $W^H$ with a suitable Hurst parameter.

Mots clés: fractional stochastic partial differential equations

Domaines: Mathématiques générales [math.GM]

David Nualart, Pierre-A. Vuillermot. Variational solutions for a class of fractional stochastic partial differential equations. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2005, 340, pp.281-286. ⟨10.1016/j.crma.2005.01.006⟩. ⟨hal-00100683⟩