Well-posedness and critical index set of the Cauchy problem for the coupled KdV-KdV systems on \(\mathbb{T}\)
DOI10.3934/dcds.2022090zbMath1498.35488arXiv1907.05580OpenAlexW2958515677MaRDI QIDQ2676609
Publication date: 28 September 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.05580
KdV equations (Korteweg-de Vries equations) (35Q53) Ill-posed problems for PDEs (35R25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Irrationality; linear independence over a field (11J72) Homogeneous approximation to one number (11J04) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for systems of nonlinear higher-order PDEs (35G55) Initial value problems for higher-order hyperbolic systems (35L56)
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Cites Work
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