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CAUCHY PROBLEM FOR HYPERBOLIC OPERATORS WITH TRIPLE EFFECTIVE CHARACTERISTICS ON THE INITIAL PLANE

Nishitani, Tatsuo 大阪大学 DOI:10.18910/76675

2020.07

概要

We study the Cauchy problem for effectively hyperbolic operators P with triple characteristics points lying on the initial plane t = 0. Under some conditions on the principal symbol of P one proves that the Cauchy problem for P in [0, T] × Ω ⊂ R^ is well posed for every choice of lower order terms. Our results improves those in [11] since we do not assume the condition (E) of [11] to be satisfied.

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参考文献

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[11] T. Nishitani and V. Petkov: Cauchy problem for effectively hyperbolic operators with triple characteristics, J. Math. Pures Appl. 123 (2019), 201–228.

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