1 citations · 1 across the 8 of their papers we have counts for
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Preventing Finite-Time Blowup in a Constrained Potential for Reaction-Diffusion Equations
John Ivanhoe, Michael Salins
We examine stochastic reaction-diffusion equations of the form and provide sufficient condi…
Global solution for superlinear stochastic heat equation on under Osgood-type conditions
Le Chen, Mohammud Foondun, Jingyu Huang +1
We study the \textit{stochastic heat equation} (SHE) on subject to a centered Gaussian noise that is white in time and colored in space.The drift term is assumed to satisfy…
Solutions to the stochastic heat equation with polynomially growing multiplicative noise do not explode in the critical regime
Michael Salins
We investigate the finite time explosion of the stochastic heat equation in the critical setting where grows l…
Regularity of the law of solutions to the stochastic heat equation with non-Lipschitz reaction term
Michael Salins, Samy Tindel
We prove the existence of density for the solution to the multiplicative semilinear stochastic heat equation on an unbounded spatial domain, with drift term satisfying a half-Lipsc…
On a general approach to Freidlin-Wentzell exit problems for stochastic equations in Banach spaces
Michael Salins
Freidlin and Wentzell characterized the logarithmic asymptotics of the exit time from a basin of attraction for a finite dimensional diffusion with small noise. After that, several…
On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field
Sandra Cerrai, Michael Salins
We study the validity of the so-called Smoluchowski-Kramers approximation for a two dimensional system of stochastic partial differential equations, subject to a constant magnetic…