A bilinear estimate with application to the sixth-order Boussinesq equation.
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Publication:2343844
zbMath1340.35258MaRDI QIDQ2343844
Publication date: 6 May 2015
Published in: Differential and Integral Equations (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for nonlinear higher-order PDEs (35G25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
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Lower regularity solutions of the non-homogeneous boundary-value problem for a higher order Boussinesq equation in a quarter plane ⋮ A non-homogeneous boundary value problem of the sixth order Boussinesq equation in a quarter plane ⋮ Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane ⋮ Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain ⋮ Improved global well-posedness for defocusing sixth-order Boussinesq equations ⋮ The limit behavior of solutions for the Cauchy problem of the sixth-order Boussinesq equation
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