Open Access
July 2015 On the Cauchy problem for a class of hyperbolic operators whose coefficients depend only on the time variable
Seiichiro Wakabayashi
Tsukuba J. Math. 39(1): 121-163 (July 2015). DOI: 10.21099/tkbjm/1438951820

Abstract

In this paper we investigate the Cauchy problem for hyperbolic operators with double characteristics and hyperbolic operators of third order whose coefficients depend only on the time variable. And we give sufficient conditions for $C^{\infty}$ well-posedness.

Citation

Download Citation

Seiichiro Wakabayashi. "On the Cauchy problem for a class of hyperbolic operators whose coefficients depend only on the time variable." Tsukuba J. Math. 39 (1) 121 - 163, July 2015. https://doi.org/10.21099/tkbjm/1438951820

Information

Published: July 2015
First available in Project Euclid: 7 August 2015

zbMATH: 1336.35213
MathSciNet: MR3383881
Digital Object Identifier: 10.21099/tkbjm/1438951820

Subjects:
Primary: 35L30
Secondary: 35L25

Keywords: $C^{\infty}$ well-posed , Cauchy problem , double characteristics , Hyperbolic , Third order

Rights: Copyright © 2015 University of Tsukuba, Institute of Mathematics

Vol.39 • No. 1 • July 2015
Back to Top