The existence of martingale solutions for stochastic porous media equations driven by nonlinear multiplicative space–time white noise is established in spatial dimension one. The Stroock–Varopoulos inequality is identified as a key tool in the derivation of the corresponding estimates
AbstractA stochastic version of the porous medium equation with coloured noise is studied. The corre...
AbstractWe derive an upper bound on the large-time exponential behavior of the solution to a stochas...
In this paper, we consider a class of multi-dimensional SPDEs of parabolic type with space-time whit...
We prove optimal regularity estimates in Sobolev spaces in time and space for solutions to stochasti...
Abstract Unique existence of solutions to porous media equations driven by continuous linear multipl...
The long time behavior of solutions to stochastic porous media equations with nonlinear multiplicati...
Röckner M, Wu W, Xie Y. Stochastic porous media equation on general measure spaces with increasing L...
In this paper, we prove that stochastic porous media equations over $\sigma$-finite measure spaces $...
Gess B. Random attractors for stochastic porous media equations perturbed by space-time linear multi...
AbstractIt is shown that a random scaled porous media equation arising from a stochastic porous medi...
Bruno S, Gess B, Weber H. Optimal regularity in time and space for stochastic porous medium equation...
First, we prove existence, nonnegativity, and pathwise uniqueness of martingale solutions to stochas...
39 pagesWe consider a porous media type equation over all of $\R^d$ with $d = 1$, with monotone disc...
International audienceWe study the existence and uniqueness of solution to stochastic porous media e...
AbstractWe consider a stochastic Korteweg–de Vries equation forced by a random term of white noise t...
AbstractA stochastic version of the porous medium equation with coloured noise is studied. The corre...
AbstractWe derive an upper bound on the large-time exponential behavior of the solution to a stochas...
In this paper, we consider a class of multi-dimensional SPDEs of parabolic type with space-time whit...
We prove optimal regularity estimates in Sobolev spaces in time and space for solutions to stochasti...
Abstract Unique existence of solutions to porous media equations driven by continuous linear multipl...
The long time behavior of solutions to stochastic porous media equations with nonlinear multiplicati...
Röckner M, Wu W, Xie Y. Stochastic porous media equation on general measure spaces with increasing L...
In this paper, we prove that stochastic porous media equations over $\sigma$-finite measure spaces $...
Gess B. Random attractors for stochastic porous media equations perturbed by space-time linear multi...
AbstractIt is shown that a random scaled porous media equation arising from a stochastic porous medi...
Bruno S, Gess B, Weber H. Optimal regularity in time and space for stochastic porous medium equation...
First, we prove existence, nonnegativity, and pathwise uniqueness of martingale solutions to stochas...
39 pagesWe consider a porous media type equation over all of $\R^d$ with $d = 1$, with monotone disc...
International audienceWe study the existence and uniqueness of solution to stochastic porous media e...
AbstractWe consider a stochastic Korteweg–de Vries equation forced by a random term of white noise t...
AbstractA stochastic version of the porous medium equation with coloured noise is studied. The corre...
AbstractWe derive an upper bound on the large-time exponential behavior of the solution to a stochas...
In this paper, we consider a class of multi-dimensional SPDEs of parabolic type with space-time whit...
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