Well-posedness in \(H^1\) for generalized Benjamin-Ono equations on the circle

DOI10.3934/dcds.2009.23.1295zbMath1165.35302arXivmath/0601215OpenAlexW2004925854MaRDI QIDQ1004350

Francis Ribaud, Luc Molinet

Publication date: 3 March 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601215

zbMATH Keywords

Hilbert transformlocal well-posednessgeneralized Benjamin-Ono equationdeep and stratified fluidslocal internal gravity waves

Mathematics Subject Classification ID

Related Items (11)

Unconditional well-posedness for some nonlinear periodic one-dimensional dispersive equations ⋮ Global well-posedness in the energy space for the Benjamin-Ono equation on the circle ⋮ Low regularity well-posedness for generalized Benjamin–Ono equations on the circle ⋮ Control and stabilization of the Benjamin-Ono equation in \(L^2(\mathbb T)\) ⋮ On the existence of solitary waves for an internal system of the Benjamin-Ono type ⋮ On short-time bilinear Strichartz estimates and applications to the Shrira equation ⋮ Unconditional uniqueness for the Benjamin-Ono equation ⋮ Well-posedness in energy space for the periodic modified Benjamin-Ono equation ⋮ Uniqueness properties of solutions to the Benjamin-Ono equation and related models ⋮ Control and stabilization of the Benjamin-Ono equation on a periodic domain ⋮ Periodic Cauchy problem for one two-dimensional generalization of the Benjamin-Ono equation in Sobolev spaces of low regularity

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