Special Session 149: 

The Cauchy-Dirichlet problem for a class of hyperbolic operators with double characteristics in presence of transition: existence and uniqueness results

Annamaria Barbagallo
University of Naples Federico II
Italy
Co-Author(s):    Vincenzo Esposito
Abstract:
The aim of the talk is to study the Cauchy-Dirichlet problem for the class of hyperbolic second order operators with double characteristics in the presence of transition. A priori local and global estimates for the solutions are obtained. Thanks to these estimates, existence and uniqueness results are established. \begin{thebibliography}{99} \bibitem{1} A. Barbagallo, V. Esposito, {\it The Cauchy-Dirichlet problem for a class of hyperbolic operators with double characteristics in the presence of transition}, J. Math. Anal. Appl. 442 (2016) 149-170. \bibitem{2} A. Barbagallo, V. Esposito, {\it Existence and uniqueness results for the mixed Cauchy-Dirichlet problem for a class of hyperbolic}, submitted. \end{thebibliography}