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September/October 2019 Local well-posedness for third order Benjamin-Ono type equations on the torus
Tomoyuki Tanaka
Adv. Differential Equations 24(9/10): 555-580 (September/October 2019).

Abstract

We consider the Cauchy problem of third order Benjamin-Ono type equations on the torus. Nonlinear terms may yield derivative losses, which prevents us from using the classical energy method. In order to overcome that difficulty, we add a correction term into the energy. We also use the Bona-Smith type argument to show the continuous dependence.

Citation

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Tomoyuki Tanaka. "Local well-posedness for third order Benjamin-Ono type equations on the torus." Adv. Differential Equations 24 (9/10) 555 - 580, September/October 2019.

Information

Published: September/October 2019
First available in Project Euclid: 13 August 2019

zbMATH: 07197897
MathSciNet: MR3992041

Subjects:
Primary: 35A01, 35A02, 35B45, 35G25, 35Q53, 37K10

Rights: Copyright © 2019 Khayyam Publishing, Inc.

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Vol.24 • No. 9/10 • September/October 2019
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