Author:
Barbagallo Annamaria,Esposito Vincenzo
Abstract
AbstractThe mixed Cauchy–Neumann and Cauchy–Robin problems for a class of hyperbolic operators with double characteristics in presence of transition is investigated. Some a priori estimates in Sobolev spaces with negative indexes are proved. Subsequently, existence and uniqueness results for the mixed problems are obtained.
Funder
Università degli Studi di Napoli Federico II
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Reference10 articles.
1. Barbagallo, A., Esposito, V.: A priori estimate for a class of hyperbolic equations with double characteristics. Rend. Acc. Sc. Fis. Mat. Napoli LXXXI, 113–120 (2014)
2. Barbagallo, A., Esposito, V.: A global existence and uniqueness result for a class of hyperbolic operators. Ricerche Mat. 63, 25–40 (2014)
3. Barbagallo, A., Esposito, V.: Energy estimates for the Cauchy problem associated to a class of hyperbolic operators with double characteristics in presence of transition. Ricerche Mat. 64, 243–249 (2015)
4. Barbagallo, A., Esposito, V.: The Cauchy–Dirichlet problem for a class of hyperbolic operators with double characteristics in presence of transition. J. Math. Anal. Appl. 442, 149–170 (2016)
5. Barbagallo, A., Esposito, V.: On hyperbolic equations with double characteristics in the presence of transition. Bound. Value Probl. Art. no. 152 (2016)