Abstract

The present paper is concerned with bicharacteristics of an effectively hyperbolic differential or pseudo-differential operator. Given a hyperbolic principal symbol p = p(p)=p(x, ^) and an effectively hyperbolic characteristic point p = (x, cf) e T* J? + *, we consider bicharacteristics p = p(s) tending to p as sfH-cQ or sj — oo. Our main purpose is to prove the following two facts (cf. Theorem 1):

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