Open Access
Translator Disclaimer
June 2015 A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators
Tatsuo Nishitani
Kyoto J. Math. 55(2): 281-297 (June 2015). DOI: 10.1215/21562261-2871758

Abstract

The behavior of orbits of the Hamilton vector field H p of the principal symbol p of a second-order hyperbolic differential operator is discussed. In our previous paper, assuming that p is noneffectively hyperbolic on the doubly characteristic manifold Σ of p , we have proved that if H S 3 p = 0 on Σ with the Hamilton vector field H S of some specified S , then there exists a bicharacteristic landing on Σ tangentially. The aim of this paper is to provide a much more simple proof of this result since the previous proof was fairly long and rather complicated.

Citation

Download Citation

Tatsuo Nishitani. "A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators." Kyoto J. Math. 55 (2) 281 - 297, June 2015. https://doi.org/10.1215/21562261-2871758

Information

Received: 3 September 2013; Revised: 9 January 2014; Accepted: 5 March 2014; Published: June 2015
First available in Project Euclid: 11 June 2015

zbMATH: 1320.35183
MathSciNet: MR3356074
Digital Object Identifier: 10.1215/21562261-2871758

Subjects:
Primary: 35L10 , 35L15
Secondary: 35L80

Rights: Copyright © 2015 Kyoto University

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.55 • No. 2 • June 2015
Back to Top