In this paper we consider continuity properties of a stochastic heat equation of the form [not partial differential]u(t,x)/[not partial differential]t = [not partial differential]2u(t,x)/[not partial differential]x2 + f(u(t,x))Wx,t. We prove that the solutions of this equation depend continuously on the function f and give some new estimates for this connection.Stochastic heat equation White noise, Banach spaces
AbstractWe consider nonlinear parabolic SPDEs of the form ∂tu=Δu+λσ(u)ẇ on the interval (0,L), wher...
© 2022, The Author(s).We consider the stochastic heat equation on [0,1] with periodic boundary condi...
In this article, we consider the quasi-linear stochastic wave and heat equations on the real line an...
AbstractIn this paper we consider continuity properties of a stochastic heat equation of the form ∂u...
International audienceWe consider the white-noise driven stochastic heat equation on [0, infinity) x...
We study the existence and regularity of the density for the solution u(t,x) (with fixed t > 0 an...
This paper is inspired by artides of Chow [Ch] and Nualart-Zakai [NZ], in which certain (linear) sto...
In the paper, we consider a set-valued stochastic equation with stochastic perturbation in a Banach ...
We consider the heat equation in dimension one with singular drift and inhomogeneous space-time whit...
We consider a class of stochastic heat equations driven by truncated $\alpha$-stable white noises fo...
This thesis is concerned with stochastic heat equation with memory and nonlinearenergy supply. The m...
In this paper we investigate the long-time behavior of solutions to a class of semilinear, stochasti...
We define linear stochastic heat equations (SHE) on p.c.f.s.s. sets equipped with regular harmonic s...
We consider the existence and pathwise uniqueness of the stochastic heat equation with a multiplica...
AbstractLet {u(t, x); t ≥ 0, 0 < x < 1} denote the solution of a white noise driven parabolic stocha...
AbstractWe consider nonlinear parabolic SPDEs of the form ∂tu=Δu+λσ(u)ẇ on the interval (0,L), wher...
© 2022, The Author(s).We consider the stochastic heat equation on [0,1] with periodic boundary condi...
In this article, we consider the quasi-linear stochastic wave and heat equations on the real line an...
AbstractIn this paper we consider continuity properties of a stochastic heat equation of the form ∂u...
International audienceWe consider the white-noise driven stochastic heat equation on [0, infinity) x...
We study the existence and regularity of the density for the solution u(t,x) (with fixed t > 0 an...
This paper is inspired by artides of Chow [Ch] and Nualart-Zakai [NZ], in which certain (linear) sto...
In the paper, we consider a set-valued stochastic equation with stochastic perturbation in a Banach ...
We consider the heat equation in dimension one with singular drift and inhomogeneous space-time whit...
We consider a class of stochastic heat equations driven by truncated $\alpha$-stable white noises fo...
This thesis is concerned with stochastic heat equation with memory and nonlinearenergy supply. The m...
In this paper we investigate the long-time behavior of solutions to a class of semilinear, stochasti...
We define linear stochastic heat equations (SHE) on p.c.f.s.s. sets equipped with regular harmonic s...
We consider the existence and pathwise uniqueness of the stochastic heat equation with a multiplica...
AbstractLet {u(t, x); t ≥ 0, 0 < x < 1} denote the solution of a white noise driven parabolic stocha...
AbstractWe consider nonlinear parabolic SPDEs of the form ∂tu=Δu+λσ(u)ẇ on the interval (0,L), wher...
© 2022, The Author(s).We consider the stochastic heat equation on [0,1] with periodic boundary condi...
In this article, we consider the quasi-linear stochastic wave and heat equations on the real line an...