2024/05/28 by I. Bailleul, Bailleul, I., Hugo Eulry +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical methods for differential equations #Probability (math.PR)
paper · pdf · doi:10.48550/arxiv.2405.18057
openalex publication_date 2024/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study in this short note a counterpart to the quasilinear generalized parabolic Anderson model (gPAM) on the 2-dimensional torus where the coefficients are nonlocal functionals of the solution. Under a positivity assumption on the diffusion coefficient we give a local in time solution theory within the framework of paracontrolled calculus.