Add to ORKGWe establish well-posedness in the mild sense for a class of stochastic semilinear evolution equations with a polynomially growing quasi-monotone nonlinearity and multiplicative Poisson noise. We also study existence and uniqueness of invariant measures for the associated semigroup in the Markovian case. A key role is played by a new maximal inequality for stochastic convolutions in $L_p$ spaces
As a Generalization to [36] where the Harnack inequality and the strong Feller property are studied ...
We prove that semilinear stochastic abstract wave equations, including wave and plate equations, are...
This paper is a continuation of Part I of this project, where we developed a new local well-posednes...
Marinelli C, Röckner M. Well-posedness and asymptotic behavior for stochastic reaction-diffusion equ...
Abstract. We establish well-posedness in the mild sense for a class of stochastic semi-linear evolut...
We prove existence and uniqueness of strong solutions for a class of semilinear stochastic evolution...
Semilinear stochastic evolution equations with multiplicative Lévy noise and monotone nonlinear dri...
We study the asymptotic behavior of solutions to stochastic evolution equations with monotone drift ...
Semilinear stochastic evolution equations with multiplicative Lévy noise and monotone nonlinear dri...
In this paper we develop a new approach to nonlinear stochastic partial differential equations with ...
We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations ...
We consider stochastic evolution equations (SEEs) of parabolic type in Hilbert space with smooth coe...
We prove the existence and uniqueness of solutions to a class of stochastic semilinear evolution equ...
As a Generalization to [36] where the Harnack inequality and the strong Feller property are studied ...
We prove that semilinear stochastic abstract wave equations, including wave and plate equations, are...
This paper is a continuation of Part I of this project, where we developed a new local well-posednes...
Marinelli C, Röckner M. Well-posedness and asymptotic behavior for stochastic reaction-diffusion equ...
Abstract. We establish well-posedness in the mild sense for a class of stochastic semi-linear evolut...
We prove existence and uniqueness of strong solutions for a class of semilinear stochastic evolution...
Semilinear stochastic evolution equations with multiplicative Lévy noise and monotone nonlinear dri...
We study the asymptotic behavior of solutions to stochastic evolution equations with monotone drift ...
Semilinear stochastic evolution equations with multiplicative Lévy noise and monotone nonlinear dri...
In this paper we develop a new approach to nonlinear stochastic partial differential equations with ...
We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations ...
We consider stochastic evolution equations (SEEs) of parabolic type in Hilbert space with smooth coe...
We prove the existence and uniqueness of solutions to a class of stochastic semilinear evolution equ...
As a Generalization to [36] where the Harnack inequality and the strong Feller property are studied ...
We prove that semilinear stochastic abstract wave equations, including wave and plate equations, are...
This paper is a continuation of Part I of this project, where we developed a new local well-posednes...