A note on nonlinear stochastic equations in Hilbert spaces
We consider nonlinear stochastic evolution equation in Hilbert space. A simple proof of existence of strong and weak solution is given provided semigroup governing the linear part of this equation is analytic and compact. Cylindrical noise is allowed.
Year of publication: |
1993
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Authors: | Gatarek, Dariusz |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 17.1993, 5, p. 387-394
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Publisher: |
Elsevier |
Keywords: | Analytic semigroup compact semigroup interpolation spaces stochastic evolution equation martingale problem Riemann-Liouville integral |
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