Global rough solutions to the cubic nonlinear Boussinesq equation

• Autores: Luiz Gustavo Farah, Felipe Linares
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 1, 2010, págs. 241-254
• Idioma: inglés
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• Resumen

  • We prove that the initial value problem for the cubic defocusing nonlinear Boussinesq equation utt - uxx + uxxxx - (|u|2u)xx = 0 on the real line is globally well-posed in Hs(R) provided 2/3 < s < 1.