Displaying similar documents to “Global Carleman estimate for stochastic parabolic equations, and its application”

Null-controllability of some systems of parabolic type by one control force

Farid Ammar Khodja, Assia Benabdallah, Cédric Dupaix, Ilya Kostin (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.

Existence and uniqueness to the Cauchy problem for linear and semilinear parabolic equations with local conditions

Gerardo Rubio (2011)

ESAIM: Proceedings

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We consider the Cauchy problem in ℝ d for a class of semilinear parabolic partial differential equations that arises in some stochastic control problems. We assume that the coefficients are unbounded and locally Lipschitz, not necessarily differentiable, with continuous data and local uniform ellipticity. We construct a classical solution by approximation with linear parabolic...

Da Prato-Zabczyk's maximal inequality revisited. I.

Jan Seidler (1993)

Mathematica Bohemica

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Existence, uniqueness and regularity of mild solutions to semilinear nonautonomous stochastic parabolic equations with locally lipschitzian nonlinear terms is investigated. The adopted approach is based on the factorization method due to Da Prato, Kwapień and Zabczyk.