2 papers
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+Ï(u(t,x))\dot{W…
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…