6 citations · 12 across the 27 of their papers we have counts for
4 papers · 2 filters
Global solutions to the stochastic heat equation with superlinear accretive reaction term and superlinear multiplicative noise term on a bounded spatial domain
Michael Salins
We describe sufficient conditions on the reaction terms and multiplicative noise terms of a stochastic reaction-diffusion equation that guarantee that the solutions never explode.…
Global solutions for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity
Michael Salins
A condition is identified that implies that solutions to the stochastic reaction-diffusion equation on a bound…
Existence and uniqueness of global solutions to the stochastic heat equation with super-linear drift on an unbounded spatial domain
Michael Salins
We prove the existence and uniqueness of global solutions to the semilinear stochastic heat equation on an unbounded spatial domain with forcing terms that grow superlinearly and s…
Moderate deviations for systems of slow-fast stochastic reaction-diffusion equations
Ioannis Gasteratos, Michael Salins, Konstantinos Spiliopoulos
The goal of this paper is to study the Moderate Deviation Principle (MDP) for a system of stochastic reaction-diffusion equations with a time-scale separation in slow and fast comp…