Special Session 105: Nonlinear Differential Problems on Flat and Curved Structures: Variational and Topological Methods
Existence and regularity results for a class of singular parabolic problems with L1 data
Ida de Bonis
Sapienza University of Rome Italy
Co-Author(s): Maria Michaela Porzio
Abstract:
In this paper we prove existence and regularity results for a class of parabolic problems with irregular initial data and lower order terms singular with respect to the solution. We prove that, even if the initial datum is not bounded but only in $L^1(\Omega)$, there exists a solution that `instantly` becomes bounded.