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math.PR2026
Uniform large deviation principles for the stochastic heat equation over unbounded sets of initial data
Michael Salins, Esmée Theewis
We study small-noise large deviations for the stochastic heat equation (SHE) on the torus with unbounded, multiplicative space-time white noise. We establish uniform large deviatio…
math.PR2026
Positive probability of explosion for stochastic heat equation with superlinear accretive reaction term and polynomially growing multiplicative noise
Michael Salins, Yuyang Zhang
This paper studies the finite time explosion of the stochastic heat equation $\frac{\partial u}{\partial t}(t,x)=\frac{\partial^2}{\partial x^2} u(t,x)+(u(t,x))^β+σ(u(t,x))\dot{W}(…
math.PR2026
Global in time solutions to stochastic reaction-diffusion systems with superlinear reactions satisfying a triangular control of mass
Dionysis Milesis, Michael Salins
We study systems of reaction-diffusion equations perturbed by multiplicative noise, where the reaction terms satisfy quasipositivity, a triangular mass-control structure, and polyn…