Well-posedness of the initial-boundary value problem for the Hirota equation on the half line

DOI10.1016/j.jmaa.2021.125571zbMath1486.35362OpenAlexW3187185055MaRDI QIDQ2050913

Jun Wu, Bo-ling Guo

Publication date: 1 September 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125571

zbMATH Keywords

initial-boundary value problemwell-posednessHirota equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Initial-boundary value problem for the Hirota equation posed on a finite interval

Cites Work

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• Regularity properties of the cubic nonlinear Schrödinger equation on the half line
• The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
• Global smooth solution for nonlinear evolution equation of Hirota type
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• On the generalized Korteweg-de Vries type equations
• Long-time asymptotics for the Hirota equation on the half-line
• Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
• Well-posedness of the Cauchy problem for the Hirota equation in Sobolev spaces \(H^s\)
• Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices
• Well-posedness and nonlinear smoothing for the ``good Boussinesq equation on the half-line
• A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
• THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
• The Initial-Boundary Value Problem for the Korteweg–de Vries Equation

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