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math.PR2023
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…
math.PR2023
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…
math.PR2023
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…