We consider a general class of parabolic spde's ∂uε t,x ∂t = ∂2uε t,x ∂x2 + ∂ ∂x g(uε t,x) + f(uε t,x) + εσ(uε t,x)W˙ t,x, with (t, x) ∈ [0, T] × [0, 1] and εW˙ t,x, ε > 0, a perturbed Gaussian space-time white noise. For (t, x) ∈ (0, T] × (0, 1) we prove the called Davies and Varadhan-L´eandre estimates of the density pε t,x of the solution uε t,x
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For the stochastic partial differential equation $\frac{\partial u}{\partial t}=\mathcal L u +u\dot...
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We consider a general class of parabolic spde's ∂uε t,x ∂t = ∂2uε t,x ∂x2 + ∂ ∂x g(uε t,x) + f(uε t,...
AbstractWe deal with the following general kind of stochastic partial differential equations:Lu(t,x)...
AbstractIn the first part of this paper, we prove the uniqueness of the solutions of SPDEs with refl...
We introduce the uniqueness, existence, $L_p$-regularity, and maximal H\"older regularity of the sol...
This paper is a continuation of (Bernoulli 20 (2014) 2169-2216) where we prove a characterization of...
AbstractConsider the following general type of perturbed stochastic partial differential equations: ...
In this paper we prove a stochastic representation for solutions of the evolution equation ∂t ψt= ½L...
The main result of this paper is that there are examples of stochastic partial differential equation...
The asymptotic analysis of a class of stochastic partial differential equations (SPDEs) with fully l...
For the one dimensional Burgers equation with a random and periodic forcing, it is well-known that t...
International audienceIn this paper we show that the Cahn-Hilliard stochastic SPDE has a function va...
The article begins with a quantitative version of the martingale central limit theorem, in terms of ...
AbstractWe present new results regarding the existence of density of the real-valued solution to a 3...
For the stochastic partial differential equation $\frac{\partial u}{\partial t}=\mathcal L u +u\dot...
AbstractIn this paper we study Varadhan’s estimates for the density of a family of solutions of anti...
We consider a general class of parabolic spde's ∂uε t,x ∂t = ∂2uε t,x ∂x2 + ∂ ∂x g(uε t,x) + f(uε t,...
AbstractWe deal with the following general kind of stochastic partial differential equations:Lu(t,x)...
AbstractIn the first part of this paper, we prove the uniqueness of the solutions of SPDEs with refl...
We introduce the uniqueness, existence, $L_p$-regularity, and maximal H\"older regularity of the sol...
This paper is a continuation of (Bernoulli 20 (2014) 2169-2216) where we prove a characterization of...
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