Details

Autor(en) / Beteiligte

• Tanaka, Tomoyuki

Titel

Local well-posedness for fourth order Benjamin-Ono type equations

Ist Teil von

• Journal of mathematical analysis and applications, 2021-06, Vol.498 (1), p.124928, Article 124928

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2021

Quelle

ScienceDirect

Beschreibungen/Notizen

• We study the local well-posedness for higher order Benjamin-Ono type equations, especially fourth order equations. The proof is based on the energy methods with correction terms. Although one of correction terms can eliminate the highest order derivative loss in the energy inequality, it may yield a lower order derivative loss than the worst term. In order to cancel all of the derivative losses, we define correction terms inductively.