Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: Microlocal analysis

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Garetto, Claudia¹  Jaeh, Christian²  Ruzhansky, Michael^3,4 

[1] Loughborough Univ, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[2] Georg August Univ Gottingen, Math Inst, Bunsenstr 3-5, D-37037 Gottingen, Germany

[3] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium

[4] Queen Mary Univ London, Sch Math Sci, Mile End, London E1 4NS, England

关键词: Hyperbolic systems;    Fourier integral operators;    Microlocal analysis;    Propagation of singularities;   

DOI  :  10.1016/j.jde.2020.05.038

来源: Elsevier

【 摘 要 】

In this paper we continue the study of non-diagonalisable hyperbolic systems with variable multiplicity started by the authors in [1]. In the case of space dependent coefficients, we prove a representation formula for solutions that allows us to derive results of regularity and propagation of singularities. (c) 2020 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

【 授权许可】

Free