Almost optimal local well-posedness for improved modified Boussinesq equations

zbMath1447.35121arXiv1903.07718MaRDI QIDQ5118079

Dan-Andrei Geba, Bai Lin

Publication date: 7 September 2020

Full work available at URL: https://arxiv.org/abs/1903.07718

zbMATH Keywords

well-posednessPicard iterationill-posedness

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

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• Ill-posedness results for generalized Boussinesq equations
• Solitary-Wave Interactions in Elastic Rods
• Modified Boussinesq equations and associated parabolic models for water wave propagation
• Remark on the local ill-posedness for KdV equation

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