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math.PR2025
Gaussian fluctuations for the nonlinear stochastic heat equation with drift
Raluca M. Balan, Michael Salins
In this article, we prove the Quantitative Central Limit Theorem (QCLT) for the spatial average of the solution of the nonlinear stochastic heat equation with constant initial cond…
math.PR2025
Nonexplosion for a large class of superlinear stochastic parabolic equations, in arbitrary spatial dimension
Michael Salins, Yuyang Zhang
This paper explores the finite time explosion of the stochastic parabolic equation in arbitrary bounded spatial d…
math.PR2025
Uniform attraction and exit problems for stochastic damped wave equations
Ioannis Gasteratos, Michael Salins, Konstantinos Spiliopoulos
We consider a class of wave equations with constant damping and polynomial nonlinearities that are perturbed by small, multiplicative, space-time white noise. The equations are def…