Global low regularity solutions to the Benjamin equation in weighted spaces

DOI10.1016/J.NA.2024.113674MaRDI QIDQ6637162

Sergey Shindin, Nabendra Parumasur

Publication date: 13 November 2024

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

zbMATH Keywords

weighted Sobolev spacesglobal well-posednessBenjamin equationanisotropic Besov-Bourgain spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• The IVP for the Benjamin-Ono equation in weighted Sobolev spaces
• Sharp well-posedness for the Benjamin equation
• The IVP for the Benjamin-Ono equation in weighted Sobolev spaces. II.
• Global well-posedness for the Benjamin equation in low regularity
• \(L^2\) global well-posedness of the initial value problem associated to the Benjamin equation
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• The Cauchy problem associated to the Benjamin equation in weighted Sobolev spaces
• Uniqueness properties of solutions to the Benjamin-Ono equation and related models
• Unique continuation principles for the Benjamin-Ono equation
• Local well-posedness for dispersion-generalized Benjamin-Ono equations
• The IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces
• Littlewood-Paley theory and function spaces with \(A_p^{\text{loc}}\) weights
• Well-posedness for the Benjamin equations
• Modern Fourier Analysis
• On the cauchy problem for the benjamin-ono equation
• A new kind of solitary wave
• A bilinear estimate with applications to the KdV equation
• Solitary and periodic waves of a new kind
• Remark on the local ill-posedness for KdV equation
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• On uniqueness results for solutions of the Benjamin equation

This page was built for publication: Global low regularity solutions to the Benjamin equation in weighted spaces

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6637162)