Global existence and asymptotic behavior of solutions to the homogeneous Neumann problem for ILW equation on a half-line

DOI10.1007/s00030-011-0138-xzbMath1254.35184OpenAlexW2034798256MaRDI QIDQ692795

Elena I. Kaikina, Martin P. Arciga Alejandre

Publication date: 6 December 2012

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-011-0138-x

zbMATH Keywords

initial-boundary value problemlarge time asymptoticsdispersive nonlinear evolution equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (max. 100)

A novel dynamic model and the oblique interaction for ocean internal solitary waves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the global well-posedness of the Benjamin-Ono equation
• Benjamin-Ono equation on a half-line
• Sur quelques généralisations de l'équation de Korteweg-de Vries
• The Benjamin-Ono equation in weighted Sobolev spaces
• Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
• Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
• Uniqueness and related analytic properties for the Benjamin-Ono equation -- A nonlinear Neumann problem in the plane
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• Nonlinear small data scattering for the generalized Korteweg-de Vries equation
• Integrable nonlinear evolution equations on the half-line
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Asymptotics for dissipative nonlinear equations
• Algebraic Solitary Waves in Stratified Fluids
• Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase
• On the limit from the intermediate long wave equation to the Benjamin–Ono equation
• An application of the inverse scattering transform to the modified intermediate long wave equation
• Pseudodifferential operator with a nonanalytic symbol on a half-line
• Explicit soliton asymptotics for the Korteweg–de Vries equation on the half-line
• On the cauchy problem for the benjamin-ono equation
• Lagrange multiplier formalism for a spin-3/2 field
• Large time asymptotics of solutions to the generalized Benjamin-Ono equation
• A unified transform method for solving linear and certain nonlinear PDEs
• A bilinear estimate with applications to the KdV equation
• Dilation method and smoothing effects of solutions to the Benjamin–Ono equation
• The nonlinear Schrödinger equation on the half-line
• Internal waves of permanent form in fluids of great depth
• On the modified Korteweg--de Vries equation

This page was built for publication: Global existence and asymptotic behavior of solutions to the homogeneous Neumann problem for ILW equation on a half-line