2015/11/27 by Tatsuo Nishitani, Nishitani, Tatsuo
Mathematics · Physics and Astronomy · #35L15 #Advanced Algebra and Geometry #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric and Algebraic Topology #Nonlinear Waves and Solitons #math.AP #msc:35L15
paper · pdf · doi:10.48550/arxiv.1511.08537
openalex publication_date 2015/11/27 · arxiv created 2016/04/28 · arxiv updated 2016/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we are concerned with a homogeneous differential operator p of order m of which characteristic set of order m is assumed to be a smooth manifold. We define the Gevrey strong hyperbolicity index as the largest number s such that the Cauchy problem for p+Q is well-posed in the Gevrey class of order s for any differential operator Q of order less than m. We study the case of the largest index and we discuss in which way the Gevrey strong hyperbolicity index relates with behaviors of bicharacteristics of p near the characteristic manifold.