2016/10/21 by Bailleul, Ismael, Debussche, Arnaud, Hofmanova, Martina
#Analysis of PDEs (math.AP) #FOS: Mathematics
paper · doi:10.48550/arxiv.1610.06726
We present in this note a local in time well-posedness result for the singular 2-dimensional quasilinear generalized parabolic Anderson model equation ∂t u - a(u)Δu = g(u)ξ The key idea of our approach is a simple transformation of the equation which allows to treat the problem as a semilinear problem. The analysis is done within the elementary setting of paracontrolled calculus.