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

被引：5

作者：

Garetto, Claudia ^{[1
]}

Jaeh, Christian ^{[2
]}

Ruzhansky, Michael ^{[3
,4
]}

机构：

[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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 10期

基金：

英国工程与自然科学研究理事会;

关键词：

Hyperbolic systems; Fourier integral operators; Microlocal analysis; Propagation of singularities; SINGULARITIES; PROPAGATION;

D O I：

10.1016/j.jde.2020.05.038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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/).

引用

页码：7881 / 7905

页数：25

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