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math.PR2024
Global solutions to the stochastic heat equation with superlinear accretive reaction term and polynomially growing multiplicative noise
Michael Salins
We prove that mild solutions to the stochastic heat equation with superlinear accretive forcing and polynomially growing multiplicative noise cannot explode under two sets of assum…
math.PR2024
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…