Special Session 103: Elliptic, parabolic problems and functional inequalities

The influence of singular potentials on the solutions to some parabolic problems

Maria Michaela MM Porzio
Sapienza Universit\`a di Roma
Italy
Co-Author(s):    
Abstract:
In this talk we investigate a class of parabolic problems with irregular initial data and lower order terms singular with respect the solution. We show that, even if the initial datum is not bounded but only in $L^1(\Omega)$, there exists a solution that istanttly becomes bounded. Moreover, we discuss the behavior in time of this solution.