Kyoto Journal of Mathematics
- Kyoto J. Math.
- Volume 55, Number 2 (2015), 281-297.
A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators
The behavior of orbits of the Hamilton vector field of the principal symbol of a second-order hyperbolic differential operator is discussed. In our previous paper, assuming that is noneffectively hyperbolic on the doubly characteristic manifold of , we have proved that if on with the Hamilton vector field of some specified , then there exists a bicharacteristic landing on 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.
Kyoto J. Math., Volume 55, Number 2 (2015), 281-297.
Received: 3 September 2013
Revised: 9 January 2014
Accepted: 5 March 2014
First available in Project Euclid: 11 June 2015
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Nishitani, Tatsuo. A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators. Kyoto J. Math. 55 (2015), no. 2, 281--297. doi:10.1215/21562261-2871758. https://projecteuclid.org/euclid.kjm/1433982756