\(L^2\) global well-posedness of the initial value problem associated to the Benjamin equation
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Publication:1286358
DOI10.1006/jdeq.1998.3530zbMath0929.35133OpenAlexW2038440166MaRDI QIDQ1286358
Publication date: 2 November 1999
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1998.3530
Related Items
Linear-implicit and energy-preserving schemes for the Benjamin-type equations ⋮ Local well-posedness for a class of 1D Boussinesq systems ⋮ Remarks on the two-dimensional Benjamin equation ⋮ Energy-preserving algorithms for the Benjamin equation ⋮ On the propagation of regularity and decay of solutions to the Benjamin equation ⋮ Control and stabilization for the dispersion generalized Benjamin equation on the circle ⋮ Evolution of the radius of analyticity for the generalized Benjamin equation ⋮ On uniqueness results for solutions of the Benjamin equation ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Sharp well-posedness for the Benjamin equation ⋮ Global smoothing for the periodic Benjamin equation in low-regularity spaces ⋮ Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation ⋮ A stochastic weakly damped, forced KdV-BO equation ⋮ Global well-posedness of the two-dimensional Benjamin equation in the energy space ⋮ Well-posedness of stochastic Korteweg-de Vries-Benjamin-Ono equation ⋮ On a model system for the oblique interaction of internal gravity waves ⋮ On the controllability and stabilization of the linearized Benjamin equation on a periodic domain ⋮ A Sharp Bilinear Estimate for the Bourgain-Type Space with Application to the Benjamin Equation ⋮ On the controllability and stabilization of the Benjamin equation on a periodic domain ⋮ Nonlinear dispersive equations: classical and new frameworks ⋮ Local well-posedness for periodic Benjamin equation with small initial data ⋮ The Cauchy problem for the generalized Korteweg-de Vries-Benjamin-Ono equation with low regularity data.
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