Dynamic first order wave systems with drift term on Riemannian manifolds

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:505

Article

Picard, Rainer¹  Trostorff, Sascha² 

[1] Tech Univ Dresden, Inst Anal, Dresden, Germany

[2] CAU Kiel, Math Seminar, Kiel, Germany

关键词: Commutator and transmutator relations;    Hyperbolic PDEs;    Drift term;    Evolutionary equations;   

DOI  :  10.1016/j.jmaa.2021.125465

来源: Elsevier

【 摘 要 】

An abstract first order differential equation of hyperbolic type with drift term on a Riemannian manifold is considered. For proving its well-posedness, transmutator and commutator relations are needed, which are studied in a general functional analytic setting. (c) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free