Global well-posedness for coupled system of mKdV equations in analytic spaces

DOI10.1155/2021/6614375zbMath1467.35296OpenAlexW3135777819MaRDI QIDQ2024567

Aissa Boukarou, Khaled Zennir, Rehab Nasser Alkhudhayr

Publication date: 4 May 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6614375

zbMATH Keywords

modified Korteweg-de Vries (mKdV) equations

Mathematics Subject Classification ID

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)

Related Items (2)

Study of fuzzy fractional third-order dispersive KdV equation in a plasma under Atangana-Baleanu derivative ⋮ Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation

Cites Work

• Unnamed Item
• Lower bounds on the radius of spatial analyticity for the KdV equation
• Gevrey class regularity for the solutions of the Navier-Stokes equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• On the radius of spatial analyticity for the quartic generalized KdV equation
• On the ill-posedness of some canonical dispersive equations.
• Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions
• Well-posedness of the Cauchy problem of Ostrovsky equation in analytic Gevrey spaces and time regularity
• Well-posedness and regularity of the fifth order Kadomtsev-Petviashvili I equation in the analytic Bourgain spaces
• Sharp well-posedness for a coupled system of mKDV-type equations
• On persistence of spatial analyticity for the dispersion-generalized periodic KdV equation
• On the radius of spatial analyticity for the 1d Dirac-Klein-Gordon equations
• Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation
• Nonlinear-Evolution Equations of Physical Significance
• Diophantine Conditions in Well-Posedness Theory of Coupled KdV-Type Systems: Local Theory
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Global Well-Posedness of mKdV inL²(𝕋, ℝ)
• Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
• A bilinear estimate with applications to the KdV equation
• On the radius of spatial analyticity for the modified Kawahara equation on the line

This page was built for publication: Global well-posedness for coupled system of mKdV equations in analytic spaces