Low regularity a priori bounds for the modified Korteweg-de Vries equation
From MaRDI portal
Publication:4913681
DOI10.14510/lm-ns.v32i1.32zbMath1284.35367arXiv1207.6738OpenAlexW2294669530MaRDI QIDQ4913681
Justin Holmer, Daniel Tataru, Michael Christ
Publication date: 8 April 2013
Published in: LIBERTAS MATHEMATICA (new series) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.6738
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (14)
Low regularity well-posedness for generalized Benjamin–Ono equations on the circle ⋮ Low regularity a priori estimates for the fourth order cubic nonlinear Schrödinger equation ⋮ On short-time bilinear Strichartz estimates and applications to the Shrira equation ⋮ On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations ⋮ On the existence of periodic solutions to the modified Korteweg-de Vries equation below \(H^{1/2}(\mathbb{T})\) ⋮ Normal form approach to unconditional well-posedness of nonlinear dispersive PDEs on the real line ⋮ Unconditional uniqueness for the modified Korteweg-de Vries equation on the line ⋮ Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces ⋮ Conserved energies for the cubic nonlinear Schrödinger equation in one dimension ⋮ The local well-posedness and the weak rotation limit for the cubic Ostrovsky equation ⋮ On global well-posedness of the modified KdV equation in modulation spaces ⋮ Sharp well-posedness for a coupled system of mKDV-type equations ⋮ On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below \(H^{1 / 2}(\mathbb{T})\) ⋮ A remark on the local well-posedness for a coupled system of mKdV type equations in H^s × H^k
This page was built for publication: Low regularity a priori bounds for the modified Korteweg-de Vries equation