We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional. The drift in the equations contains a dissipative nonlinearity of polynomial growth.This work was supported by the FWF-Project P17273-N12https://link.springer.com/journal/11118am2017Mathematics and Applied Mathematic
In this thesis, we study the existence, uniqueness, and regularity of systems of degenerate linear ...
This thesis is a compilation of two papers. In the first paper we investigate a class of two dimens...
The article of record as published may be found at http://dx.doi.org/10.3934/eect.2012.1.355In this ...
We establish the existence of weak martingale solutions to a class of second order parabolic stocha...
In this paper we study general nonlinear stochastic differential equations, where the usual Brownian...
AbstractGlobal existence and uniqueness is proved for a stochastic reaction-diffusion equation with ...
We consider a class of stochastic heat equations driven by truncated $\alpha$-stable white noises fo...
We study a reaction-diffusion evolution equation perturbed by a Gaussian noise. Here the leading ope...
We study a reaction-diffusion evolution equation perturbed by a Gaussian noise. Here the leading ope...
AbstractIn this paper we study the continuity property as well as the homeomorphism property for the...
In this paper, we study the convergence for solutions to a sequence of (possibly degenerate) stochas...
This thesis is concerned with stochastic partial differential equations of parabolic type. In the fi...
In this paper we work with parabolic SPDEs of the form $$ \partial_t u(t,x)=\partial_x^2 u(t,x)+g(...
We prove global well-posedness in the strong sense for stochastic generalized porous media equations...
18 pagesIn this paper we investigate a nonlinear stochastic partial differential equation (spde in s...
In this thesis, we study the existence, uniqueness, and regularity of systems of degenerate linear ...
This thesis is a compilation of two papers. In the first paper we investigate a class of two dimens...
The article of record as published may be found at http://dx.doi.org/10.3934/eect.2012.1.355In this ...
We establish the existence of weak martingale solutions to a class of second order parabolic stocha...
In this paper we study general nonlinear stochastic differential equations, where the usual Brownian...
AbstractGlobal existence and uniqueness is proved for a stochastic reaction-diffusion equation with ...
We consider a class of stochastic heat equations driven by truncated $\alpha$-stable white noises fo...
We study a reaction-diffusion evolution equation perturbed by a Gaussian noise. Here the leading ope...
We study a reaction-diffusion evolution equation perturbed by a Gaussian noise. Here the leading ope...
AbstractIn this paper we study the continuity property as well as the homeomorphism property for the...
In this paper, we study the convergence for solutions to a sequence of (possibly degenerate) stochas...
This thesis is concerned with stochastic partial differential equations of parabolic type. In the fi...
In this paper we work with parabolic SPDEs of the form $$ \partial_t u(t,x)=\partial_x^2 u(t,x)+g(...
We prove global well-posedness in the strong sense for stochastic generalized porous media equations...
18 pagesIn this paper we investigate a nonlinear stochastic partial differential equation (spde in s...
In this thesis, we study the existence, uniqueness, and regularity of systems of degenerate linear ...
This thesis is a compilation of two papers. In the first paper we investigate a class of two dimens...
The article of record as published may be found at http://dx.doi.org/10.3934/eect.2012.1.355In this ...