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28 March 2024
 
  » arxiv » 1812.3477

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Local well-posedness for third order Benjamin-Ono type equations on the torus
Tomoyuki Tanaka ;
Date 9 Dec 2018
AbstractWe 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.
Source arXiv, 1812.3477
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