Local well-posedness for third order Benjamin-Ono type equations on the torus

zbMath1437.35611arXiv1812.03477MaRDI QIDQ2178055

Tomoyuki Tanaka

Publication date: 7 May 2020

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03477

zbMATH Keywords

well-posednessBenjamin-Ono-type equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability ⋮ Reducibility of a class of operators induced by the dispersive third order Benjamin-Ono equation ⋮ Local well-posedness for fourth order Benjamin-Ono type equations

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