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White noise driven quasilinear SPDEs with reflection

✍ Scribed by D. Nualart; E. Pardoux

Publisher
Springer
Year
1992
Tongue
English
Weight
557 KB
Volume
93
Category
Article
ISSN
1432-2064

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✍ David Nualart; Boris Rozovskii πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 426 KB

In this paper we develop basic elements of Malliavin calculus on a weighted L 2 (0). This class of generalized Wiener functionals is a Hilbert space. It turns out to be substantially smaller than the space of Hida distributions while large enough to accommodate solutions of bilinear stochastic PDEs.