Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/21557

Title: Well-posedness of hyperbolic systems with multiplicities and smooth coefficients
Authors: Garetto, Claudia
Jah, Christian
Issue Date: 2016
Publisher: arXiv.org
Citation: GARETTO, C. and JAH, C., 2016. Well-posedness of hyperbolic systems with multiplicities and smooth coefficients. arXiv:1603.03602 [math.AP]
Abstract: In this paper we study hyperbolic systems with multiplicities and smooth coefficients. In the case of non-analytic coefficients we prove well-posedness in any Gevrey class and when the coefficients are analytic we prove C∞ well-posedness. The proof is based on a reduction to block Sylvester form introduced by D'Ancona and Spagnolo in Ref. 8 which increases the system size but does not change the eigenvalues. This reduction introduces lower order terms for which appropriate Levi type conditions are found. These translate then into conditions on the original coefficients matrix. This paper can be considered as a generalisation of Ref. 11 where weakly hyperbolic higher order equations with lower order terms were considered.
Description: This pre-print was submitted to arXiv on 11th March 2016
Version: Submitted for publication
URI: https://dspace.lboro.ac.uk/2134/21557
Publisher Link: http://arxiv.org/abs/1603.03602
Appears in Collections:Pre-prints (Maths)

Files associated with this item:

File Description SizeFormat
1603.03602v1.pdfSubmitted version361.45 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.