3 papers
math.AP2026
A priori bounds for the generalized parabolic Anderson model in the full subcritical regime
Salvador Esquivel, Felix Schwarzfischer
We show a priori bounds for the generalized Parabolic Anderson Model in finite volume in the full subcritical regime. The approach is based on…
math.PR2026
A Stochastic Flow for the Stochastic Allen-Cahn Equation with Multiplicative Noise
Salvador Esquivel, Hendrik Weber
We establish the existence of a stochastic flow on for the stochastic Allen-Cahn equation with multiplicative noise \[ (\partial_t - \partial_x^2) u = u -…
math.AP2024
A priori bounds for the dynamic fractional model on in the full subcritical regime
Salvador Esquivel, Hendrik Weber
We show a priori bounds for the dynamic fractional model on in the full subcritical regime using the framework of Hairer's regularity structures theory. Assumi…