Improved global well-posedness for defocusing sixth-order Boussinesq equations

DOI10.1016/j.na.2019.111632zbMath1433.35271arXiv1907.03151OpenAlexW2975224792MaRDI QIDQ2288383

Dan-Andrei Geba, Evan Witz

Publication date: 17 January 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03151

zbMATH Keywords

well-posednessmultilinear estimatesi-methodnonlinear Boussinesq equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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 (1)

Active control of an improved Boussinesq system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global existence and blow-up for the generalized sixth-order Boussinesq equation
• Local well-posedness for quadratic nonlinear Schrödinger equations and the ``good Boussinesq equation.
• Local well-posedness for the sixth-order Boussinesq equation
• Local solutions in Sobolev spaces and unconditional well-posedness for the generalized Boussinesq equation
• A numerical study of an ill-posed Boussinesq equation arising in water and nonlinear lattices: Filtering and regularization techniques
• Global existence of small solutions for a generalized Boussinesq equation
• On the (generalized) Korteweg-de Vries equation
• Multilinear estimates for periodic KdV equations, and applications
• Sharp local well-posedness for the ``good Boussinesq equation
• A bilinear estimate with application to the sixth-order Boussinesq equation.
• Global rough solutions to the sixth-order Boussinesq equation
• Global Well-Posedness for Schrödinger Equations with Derivative
• Global rough solutions to the cubic nonlinear Boussinesq equation
• Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Existance and Uniqueness for Boussinesq type equations on a circle

This page was built for publication: Improved global well-posedness for defocusing sixth-order Boussinesq equations