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

[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/).

[发布日期] 2020-11-05

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