Some results for the reflection problems in Hilbert spaces
Viorel Barbu, Giuseppe Da Prato (2008)
Control and Cybernetics
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Viorel Barbu, Giuseppe Da Prato (2008)
Control and Cybernetics
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Marta Sanz-Solé, Pierre-A. Vuillermot (2003)
Annales de l'I.H.P. Probabilités et statistiques
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Tomás Caraballo Garrido (1991)
Collectanea Mathematica
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We state some results on existence and uniqueness for the solution of non linear stochastic PDEs with deviating arguments. In fact, we consider the equation dx(t) + (A(t,x(t)) + B(t,x(a(t))) + f(t)dt = (C(t,x(b(t)) + g(t))dwt, where A(t,·), B(t,·) and C(t,·) are suitable families of non linear operators in Hilbert spaces, wt is a Hilbert valued Wiener process, and a, b are functions of delay. If A satisfies a coercivity condition and a monotonicity hypothesis, and if B, C are Lipschitz...
Giuseppe Da Prato, Arnaud Debussche, Luciano Tubaro (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Dariusz Gątarek, Beniamin Gołdys (1996)
Studia Mathematica
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Existence, uniqueness and ergodicity of weak solutions to the equation of stochastic quantization in finite volume is obtained as a simple consequence of the Girsanov theorem.
Axel Grorud, David Nualart, Marta Sanz-Solé (1994)
Annales de l'I.H.P. Probabilités et statistiques
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