Special Session 35: Elliptic PDEs: singularities, discontinuities, and nonlinear phenomena

Comparison results for the fractional heat equation with a singular lower order term
Ida de Bonis
Sapienza University of Rome
Italy
Co-Author(s):    
Abstract:
We provide symmetrization results in the form of mass concentration comparisons for fractional singular parabolic equations in infinite cylinders of the type $\Omega\times (0,T)$, where $\Omega\subset \mathbb{R}^N, N\geq 2$ is a bounded, open set with Lipschitz boundary, and $T>0$.\ The results are obtained in collaboration with B. Brandolini, V. Ferone and B. Volzone.