Special Session 103: Elliptic, parabolic problems and functional inequalities

On the Laplace equation with non local dynamical boundary conditions

Raffaela Capitanelli
Sapienza University of Roma
Italy
Co-Author(s):    
Abstract:
In this talk I will present some results on the Laplace equation with non local dynamic boundary conditions, where the non locality is due to the presence of a time fractional derivative. In particular, a representation formula for the solution of the the Laplace equation with non local dynamic boundary conditions of reactive-diffusive type will be given. These results are obtained in collaboration with M. D` Ovidio.