Ill-posedness results for generalized Boussinesq equations

DOI10.1016/j.na.2013.09.017zbMath1286.35228arXiv1209.0998OpenAlexW2009904356MaRDI QIDQ2637032

David Karapetyan, A. Alexandrou Himonas, Dan-Andrei Geba

Publication date: 18 February 2014

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

Full work available at URL: https://arxiv.org/abs/1209.0998

zbMATH Keywords

Boussinesq equationwell-posednessill-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)

Related Items (6)

Norm inflation for the generalized Boussinesq and Kawahara equations ⋮ Well-posedness of the ``good Boussinesq equation in analytic Gevrey spaces and time regularity ⋮ On the Initial‐Boundary Value Problem for the Linearized Boussinesq Equation ⋮ Almost optimal local well-posedness for improved modified Boussinesq equations ⋮ Norm inflation for the Boussinesq system ⋮ The limit behavior of solutions for the Cauchy problem of the sixth-order Boussinesq equation

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