On the wave operator for the generalized Boussinesq equation
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Publication:2845730
DOI10.1090/S0002-9939-2011-11131-6zbMath1291.35216OpenAlexW1976298831MaRDI QIDQ2845730
Lucas C. F. Ferreira, Luiz Gustavo Farah
Publication date: 3 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11131-6
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Scattering theory for PDEs (35P25)
Related Items (5)
Well-posedness and Scattering for the Generalized Boussinesq Equation ⋮ Time periodic solutions to the beam equation with weak damping ⋮ Global existence and time-decay rates of solutions to the generalized Boussinesq equation with weak damping ⋮ Refined long time existence of the Boussinesq equation with large initial data in \(\mathbb{R}^n\) ⋮ On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite \(L^{2}\)-norm setting
Cites Work
- Existence and scattering of small solutions to a Boussinesq type equation of sixth order
- Local solutions in Sobolev spaces and unconditional well-posedness for the generalized Boussinesq equation
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Global existence of small solutions for a generalized Boussinesq equation
- Decay and scattering of small solutions of a generalized Boussinesq equation
- On small amplitude solutions to the generalized Boussinesq equations
- Global existence on nonlinear Schrödinger-IMBq equations
- Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
- Asymptotic behavior of solutions of a generalized Boussinesq type equation
- Large data asymptotic behaviour for the generalized Boussinesq equation
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