Add to ORKGA stochastic partial differential equation in which the square root of the solution appears as the diffusion coefficient is studied as a particular case of stochastic evolution equations. Weak existence of a solution is proved by the Euler approximation scheme. The super-Brownian motion on [0, 1] is also studied as a Hilbert-space-valued equation. In this set up, weak existence, pathwise uniqueness, and positivity of solutions are obtained in any dimension d
Röckner M, Zhu R, Zhu X. A note on stochastic semilinear equations and their associated Fokker-Planc...
We consider stochastic evolution equations in Hilbert spaces with merely measurable and locally boun...
A nonlinear Hilbert-space-valued stochastic differential equation where L −1 (L being the gene...
An existence and uniqueness theorem is proved for a quasilinear stochastic evolution equation with a...
We introduce the Hilbert space-valued Wiener process and the corresponding stochastic integral of I...
We prove the existence and uniqueness of strong solutions for linear stochastic differential equatio...
We prove strong well-posedness for a class of stochastic evolution equations in Hilbert spaces H whe...
We prove the existence and uniqueness of strong solutions for linear stochastic dif-ferential equati...
AbstractThe pathwise uniqueness of stochastic evolution equations driven by Q-Wiener processes is ma...
Barbu V, Röckner M. Variational solutions to nonlinear stochastic differential equations in Hilbert ...
We prove pathwise (hence strong) uniqueness of solutions to stochastic evolution equations in Hilber...
In the Thesis, linear stochastic differential equations in a Hilbert space driven by a cylindrical f...
In this paper the existence and uniquenessof solutions for two-dimensionalstochastic partial differe...
Stochastic Evolution Equations Petr Čoupek Doctoral Thesis Abstract Linear stochastic evolution equa...
AbstractExistence and uniqueness theorems for stochastic evolution equations are developed in a Hilb...
Röckner M, Zhu R, Zhu X. A note on stochastic semilinear equations and their associated Fokker-Planc...
We consider stochastic evolution equations in Hilbert spaces with merely measurable and locally boun...
A nonlinear Hilbert-space-valued stochastic differential equation where L −1 (L being the gene...
An existence and uniqueness theorem is proved for a quasilinear stochastic evolution equation with a...
We introduce the Hilbert space-valued Wiener process and the corresponding stochastic integral of I...
We prove the existence and uniqueness of strong solutions for linear stochastic differential equatio...
We prove strong well-posedness for a class of stochastic evolution equations in Hilbert spaces H whe...
We prove the existence and uniqueness of strong solutions for linear stochastic dif-ferential equati...
AbstractThe pathwise uniqueness of stochastic evolution equations driven by Q-Wiener processes is ma...
Barbu V, Röckner M. Variational solutions to nonlinear stochastic differential equations in Hilbert ...
We prove pathwise (hence strong) uniqueness of solutions to stochastic evolution equations in Hilber...
In the Thesis, linear stochastic differential equations in a Hilbert space driven by a cylindrical f...
In this paper the existence and uniquenessof solutions for two-dimensionalstochastic partial differe...
Stochastic Evolution Equations Petr Čoupek Doctoral Thesis Abstract Linear stochastic evolution equa...
AbstractExistence and uniqueness theorems for stochastic evolution equations are developed in a Hilb...
Röckner M, Zhu R, Zhu X. A note on stochastic semilinear equations and their associated Fokker-Planc...
We consider stochastic evolution equations in Hilbert spaces with merely measurable and locally boun...
A nonlinear Hilbert-space-valued stochastic differential equation where L −1 (L being the gene...