We study the law of the solution to the stochastic heat equation with additive Gaussian noise which behaves as the fractional Brownian motion in time and is white in space. We prove a decomposition of the solution in terms of the bifractional Brownian motion
Two applications of the fractional Brownian motion will be presented. First, we study the time-regul...
Dedicated to David Nualart on occasion of his 60th birthdayInternational audienceIn this article, we...
This is the published version, also available here: http://dx.doi.org/10.1214/11-AOP649.In this pape...
We study the law of the solution to the stochastic heat equation with additive Gaussian noise which ...
Accessible en ligne : http://alea.impa.br/english/index_v7.htmInternational audienceIn this article ...
International audienceWe consider the stochastic heat equation with multiplicative noise $u_t=\frac{...
This is the published version, also available here: http://dx.doi.org/10.1214/10-AOP547.We establish...
Abstract In this paper, we consider the stochastic heat equation of the form ∂ u ∂ t = Δ α u + ∂ 2 B...
AbstractWe consider a system of d linear stochastic heat equations driven by an additive infinite-di...
We consider a class of fractional time stochastic equation defined on a bounded domain and show that...
This study is concerned with the space-time fractional stochastic heat-type equations driven by mult...
Cette thèse est consacrée à l'étude de certaines classes d'équations aux dérivées partielles stocha...
AbstractWe consider the linear stochastic wave equation with spatially homogeneous Gaussian noise, w...
We study the fractional diffusion in a Gaussian noisy environment as described by the fractional ord...
This paper studies the nonlinear one-dimensional stochastic heat equation driven by a Gaussian nois...
Two applications of the fractional Brownian motion will be presented. First, we study the time-regul...
Dedicated to David Nualart on occasion of his 60th birthdayInternational audienceIn this article, we...
This is the published version, also available here: http://dx.doi.org/10.1214/11-AOP649.In this pape...
We study the law of the solution to the stochastic heat equation with additive Gaussian noise which ...
Accessible en ligne : http://alea.impa.br/english/index_v7.htmInternational audienceIn this article ...
International audienceWe consider the stochastic heat equation with multiplicative noise $u_t=\frac{...
This is the published version, also available here: http://dx.doi.org/10.1214/10-AOP547.We establish...
Abstract In this paper, we consider the stochastic heat equation of the form ∂ u ∂ t = Δ α u + ∂ 2 B...
AbstractWe consider a system of d linear stochastic heat equations driven by an additive infinite-di...
We consider a class of fractional time stochastic equation defined on a bounded domain and show that...
This study is concerned with the space-time fractional stochastic heat-type equations driven by mult...
Cette thèse est consacrée à l'étude de certaines classes d'équations aux dérivées partielles stocha...
AbstractWe consider the linear stochastic wave equation with spatially homogeneous Gaussian noise, w...
We study the fractional diffusion in a Gaussian noisy environment as described by the fractional ord...
This paper studies the nonlinear one-dimensional stochastic heat equation driven by a Gaussian nois...
Two applications of the fractional Brownian motion will be presented. First, we study the time-regul...
Dedicated to David Nualart on occasion of his 60th birthdayInternational audienceIn this article, we...
This is the published version, also available here: http://dx.doi.org/10.1214/11-AOP649.In this pape...