The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in low regularity Sobolev spaces

DOI10.1016/j.jde.2016.04.022zbMath1338.35113arXiv1601.02803OpenAlexW2963448886MaRDI QIDQ285648

Alysson Cunha, Ademir Pastor Ferreira

Publication date: 19 May 2016

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

Full work available at URL: https://arxiv.org/abs/1601.02803

zbMATH Keywords

weighted Sobolev spaceslocal well-posednessBO-ZK equationweak dispersion of Zakharov-Kuznetsov type

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (12)

On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ Two dimensional solitary waves in shear flows ⋮ Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications ⋮ On special regularity properties of solutions of the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation ⋮ On the properties in solutions of the Shrira equation ⋮ The IVP for a periodic generalized ZK equation ⋮ The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ Exact Controllability and Stabilization for Linear Dispersive PDE’s on the Two-Dimensional Torus ⋮ Persistence properties for the dispersion generalized BO-ZK equation in weighted anisotropic Sobolev spaces ⋮ The Cauchy problem for a family of two-dimensional fractional Benjamin-Ono equations ⋮ Local and global well-posedness results for the Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ The IVP for the evolution equation of wave fronts in chemical reactions in low-regularity Sobolev spaces

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