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On the well-posedness of weakly hyperbolic equations with time-dependent coefficients
journal contribution
posted on 2014-07-28, 08:12 authored by Claudia Garetto, Michael RuzhanskyIn this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lower order terms and the number of multiple roots. We also derive the corresponding well-posedness results in the space of Gevrey Beurling ultradistributions.
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Differential EquationsVolume
253Issue
5Pages
1317 - 1340Citation
GARETTO, C. and RUZHANSKY, M., 2012. On the well-posedness of weakly hyperbolic equations with time-dependent coefficients. Journal of Differential Equations, 253 (5), pp. 1317-1340.Publisher
© Elsevier Inc.Version
- AM (Accepted Manuscript)
Publication date
2012Notes
This is the author’s version of a work that was accepted for publication in Journal of Differential Equations. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Differential Equations 2012, 253 (5), URL: http://dx.doi.org/10.1016/j.jde.2012.05.001.ISSN
0022-0396eISSN
1090-2732Publisher version
Language
- en