Well-posedness and Scattering for the Generalized Boussinesq Equation
Well-posedness and Scattering for the Generalized Boussinesq Equation
.In this paper, we show the local well-posedness of the generalized Boussinesq equation (gBQ) in \(L^{2}(\mathbb{R}^d), H^{1}(\mathbb{R}^d)\) and obtain the global well-posedness, finite-time blowup and small initial data scattering of gBQ in energy space \(H^1(\mathbb{R}^d)\) . Moreover, we obtain the large radial initial data scattering of the defocusing case for …