Stochastic partial differential equations (SPDEs) of parabolic type driven by (pure) Poisson white noise are investigated in this paper. These equations are interpreted as stochastic integral equations of the jump type involving evolution kernels. Existence and uniqueness of the solution is established.Parabolic SPDEs Poisson white noise Stochastic integral equations of jump type Existence and uniqueness
This paper deals with linear stochastic partial differential equations with variable coefficients dr...
AbstractThe present paper is the second and main part of a study of partial differential equations u...
We survey some of our recent results on existence, uniqueness and regularity of function solutions t...
AbstractStochastic partial differential equations (SPDEs) of parabolic type driven by (pure) Poisson...
A certain dass of stochastic partial differential equations of parabolic type is studied within whit...
AbstractWe study a parabolic SPDE driven by a white noise and a compensated Poisson measure. We firs...
In this thesis, we develop a stochastic calculus for the space-time Lévy white noise introduced in [...
In this paper we develop a white noise framework for the study of stochastic partial differential eq...
Existence and uniqueness theorems for parabolic stochastic partial differential equations with space...
We study strictly parabolic stochastic partial differential equations on R^d, d>=1, driven by a Gaus...
AbstractWe prove existence and uniqueness of the solution of a white noise driven parabolic SPDE, in...
Abstract. The main two aims of these lecture notes are: a definition of the space-time white noise a...
UnrestrictedIn this work we discuss two problems related to stochastic partial differential equation...
AbstractLet {u(t, x); t ≥ 0, 0 < x < 1} denote the solution of a white noise driven parabolic stocha...
AbstractWe prove existence, uniqueness and comparison theorems for a class of semilinear stochastic ...
This paper deals with linear stochastic partial differential equations with variable coefficients dr...
AbstractThe present paper is the second and main part of a study of partial differential equations u...
We survey some of our recent results on existence, uniqueness and regularity of function solutions t...
AbstractStochastic partial differential equations (SPDEs) of parabolic type driven by (pure) Poisson...
A certain dass of stochastic partial differential equations of parabolic type is studied within whit...
AbstractWe study a parabolic SPDE driven by a white noise and a compensated Poisson measure. We firs...
In this thesis, we develop a stochastic calculus for the space-time Lévy white noise introduced in [...
In this paper we develop a white noise framework for the study of stochastic partial differential eq...
Existence and uniqueness theorems for parabolic stochastic partial differential equations with space...
We study strictly parabolic stochastic partial differential equations on R^d, d>=1, driven by a Gaus...
AbstractWe prove existence and uniqueness of the solution of a white noise driven parabolic SPDE, in...
Abstract. The main two aims of these lecture notes are: a definition of the space-time white noise a...
UnrestrictedIn this work we discuss two problems related to stochastic partial differential equation...
AbstractLet {u(t, x); t ≥ 0, 0 < x < 1} denote the solution of a white noise driven parabolic stocha...
AbstractWe prove existence, uniqueness and comparison theorems for a class of semilinear stochastic ...
This paper deals with linear stochastic partial differential equations with variable coefficients dr...
AbstractThe present paper is the second and main part of a study of partial differential equations u...
We survey some of our recent results on existence, uniqueness and regularity of function solutions t...