24 citations · 77 across the 32 of their papers we have counts for
6 papers · 1 filter
Backward stochastic porous media equation with polynomial growth
Ioana Ciotir, Dan Goreac, Juan Li +2
We investigate the well-posedness of a backward stochastic porous media equation whose nonlinear term is a polynomial operator corresponding to the slow diffusion regime. The main…
Stochastic Porous Media Equations With Nonhomogeneous Dirichlet Boundary Conditions
Dan Goreac, Ioana Ciotir, Juan Li +1
We aim at studying the well-posedness of stochastic porous media equation problems under nonhomogeneous Dirichlet boundary. We obtain an unconventional homogeneous Dirichlet bounda…
Stochastic evolution equations with nonlinear diffusivity, recent progress and critical cases
Ioana Ciotir, Dan Goreac, Jonas M. Tölle
This short survey article stems from recent progress on critical cases of stochastic evolution equations in variational formulation with additive, multiplicative or gradient noises…
The stochastic fast logarithmic equation in with multiplicative Stratonovich noise
Ioana Ciotir, Reika Fukuizumi, Dan Goreac
This paper is concerned with the existence and uniqueness of the solution for the stochastic fast logarithmic equation with Stratonovich multiplicative noise in fo…
Regularity and Stability for the Semigroup of Jump Diffusions with State-Dependent Intensity
Vlad Bally, Dan Goreac, Victor Rabiet
We consider stochastic differential systems driven by a Brownian motion and a Poisson point measure where the intensity measure of jumps depends on the solution. This behavior is n…
A Criterion for the Viability of Stochastic Semilinear Control Systems via the Quasi-Tangency Condition
Dan Goreac
In this paper we study a criterion for the viability of stochastic semilinear control systems on a real, separable Hilbert space. The necessary and sufficient conditions are given…