2022/06/15 by Diego Chamorro, Chamorro, Diego, Stéphane Menozzi +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations
paper · pdf · doi:10.48550/arxiv.2206.07420
We consider parabolic PDEs associated with fractional type operators drifted by non-linear singular first order terms. When the drift enjoys some boundedness properties in appropriate Lebesgue and Besov spaces, we establish by exploiting a priori Besov-type estimates, the Hölder continuity of the solutions. In particular, we handle the almost critical case in whole generality.