hal-00100683, version 1
Variational solutions for a class of fractional stochastic partial differential equations
Comptes rendus de l'académie des sciences, Mathématiques 340 (2005) 281-286
Résumé : 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.
- 1 :
- Universitat de Barcelona
- 2 :
- CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
- Domaine : Mathématiques/Mathématiques générales
- Mots-clés : fractional stochastic partial differential equations
- hal-00100683, version 1
- http://hal.archives-ouvertes.fr/hal-00100683
- oai:hal.archives-ouvertes.fr:hal-00100683
- Contributeur :
- Soumis le : Mardi 26 Septembre 2006, 14:49:07
- Dernière modification le : Mardi 19 Février 2013, 10:48:20
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