On hyperbolic equations with double characteristics in the presence of transition

Boundary value problems

Annamaria Barbagallo³  Vincenzo Esposito⁵ 

[1] , Naples, Italy;, University of Naples “Department of Mathematics and Applications “Federico II”R. Caccioppoli”

关键词: Sobolev spaces;    Cauchy problem;    hyperbolic equations;    pseudodifferential operators;    35L20;    35B45;   

DOI  :  10.1186/s13661-016-0646-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The paper deals with the study of the Cauchy problem for a class of hyperbolic second order operators with double characteristics in the presence of a transition. In particular, we obtain some a priori local estimates and, by means of these estimates, we prove local and global existence theorems.

【 授权许可】

CC BY