On a class of hyperbolic equations in Weyl-Hormander calculus

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:436

Article

Delgado, Julio¹ 

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, 180 Queens Gate, London SW7 2AZ, England

关键词: Hyperbolic evolution equation;    Degenerate hyperbolic equation;    Nonhomogeneous calculus;    Microlocal analysis;   

DOI  :  10.1016/j.jmaa.2015.12.005

来源: Elsevier

【 摘 要 】

In this paper we study the Cauchy problem for hyperbolic equations in the setting of Hormander S(m, g) classes. We provide regularity estimates, existence and uniqueness in the scale of Sobolev spaces H (m, g) adapted to the Weyl-Hormander calculus. We also obtain estimates for some parabolic evolution equations. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free