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A note on weakly hyperbolic equations with analytic principal part
| File | Description | Size | Format | |
|---|---|---|---|---|
 1301.3346v1.pdf | Accepted version | 229.48 kB | Adobe PDF | View/Open |
| 1-s2.0-S0022247X13008238-main.pdf | Published version | 378.82 kB | Adobe PDF | View/Open |
| Title: | A note on weakly hyperbolic equations with analytic principal part |
| Authors: | Garetto, C Ruzhansky, M |
| Item Type: | Journal Article |
| Abstract: | 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. |
| Issue Date: | 1-Apr-2014 |
| Date of Acceptance: | 12-Sep-2013 |
| URI: | http://hdl.handle.net/10044/1/55319 |
| DOI: | https://dx.doi.org/10.1016/j.jmaa.2013.09.011 |
| ISSN: | 0022-247X |
| Publisher: | Elsevier |
| Start Page: | 1 |
| End Page: | 14 |
| Journal / Book Title: | Journal of Mathematical Analysis and Applications |
| Volume: | 412 |
| Issue: | 1 |
| Copyright Statement: | © 2013 The Authors. Published by Elsevier Inc. Open access under CC BY license. |
| Sponsor/Funder: | Engineering & Physical Science Research Council (EPSRC) |
| Funder's Grant Number: | EP/G007233/1 |
| Keywords: | Science & Technology Physical Sciences Mathematics, Applied Mathematics Hyperbolic equations Well-posedness CAUCHY-PROBLEM SYMMETRIZATION COEFFICIENTS math.AP math.CA 0101 Pure Mathematics 0102 Applied Mathematics 0906 Electrical And Electronic Engineering General Mathematics |
| Publication Status: | Published |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |