Special Session 103: Elliptic, parabolic problems and functional inequalities

Asymptotics for inverse problems in irregular domains

Simone Creo
Sapienza University of Rome
Italy
Co-Author(s):    
Abstract:
In this talk we consider inverse problems in an irregular domain $\Omega$ and in suitable approximating domains $\Omega_n$, for $n\in\mathbb{N}$, respectively. After proving well-posedness results, we prove that the solutions of the approximating problems converge in a suitable sense to the solution of the problem on $\Omega$ via Mosco convergence. We also present some applications.\ These results are obtained in collaboration with M. R. Lancia, G. Mola and S. Romanelli.