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A note on weakly hyperbolic equations with analytic principal part

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journal contribution
posted on 15.04.2015, 10:26 by Claudia Garetto, Michael Ruzhansky
In this note we show how to include low order terms in the C∞ well-posedness results for weakly hyperbolic equations with analytic time-dependent coefficients. This is achieved by doing a different reduction to a system from the previously used one. We find the Levi conditions such that the C∞ well-posedness continues to hold.

Funding

Engineering and Physical Sciences Research Council

History

School

  • Science

Department

  • Mathematical Sciences

Published in

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Volume

412

Issue

1

Pages

1 - 14 (14)

Citation

GARETTO, C. and RUZHANSKY, M., 2014. A note on weakly hyperbolic equations with analytic principal part. Journal of Mathematical Analysis and Applications, 412 (1), pp. 1 - 14.

Publisher

© The Authors. Published by Elsevier Inc.

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 3.0 Unported (CC BY 3.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/

Publication date

2014

Notes

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Full details of the CC BY licence are available at: http://creativecommons.org/licenses/by/3.0/

ISSN

0022-247X

Language

en

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