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arXiv · 1812.03787

Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane

Tatsuo Nishitani·Vesselin Petkov
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Abstract

We study effectively hyperbolic operators $P$ with triple characteristics points lying on $t= 0$. Under some conditions on the principal symbol of $P$ one proves that the Cauchy problem for $P$ in $[0, T] \times U$ is well posed for every choice of lower order terms. Our results improves those in [11] since we don't assume the condition (E) of [11] satisfied.

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Tatsuo Nishitani, Vesselin Petkov. 2018-12-10. Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane. https://arxiv.org/abs/1812.03787

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