scientific article
From MaRDI portal
Publication:3361261
zbMath0734.35082MaRDI QIDQ3361261
Tomomi Matahashi, Masayoshi Tsutsumi
Publication date: 1991
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cauchy problemlocal existenceweak solutionswell-posednessdecayglobal existencenonlinear Schrödinger equationsSmoothingBoussinesq-type equation
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items (40)
A second order operator splitting numerical scheme for the ``good Boussinesq equation ⋮ Blow-up and scattering of solution for a generalized Boussinesq equation ⋮ On the dissipative Boussinesq equation in a non-cylindrical domain ⋮ Global solution for a generalized Boussinesq equation ⋮ Global existence and exponential growth of solution for the logarithmic Boussinesq-type equation ⋮ Ill-posedness results for generalized Boussinesq equations ⋮ A non-homogeneous boundary value problem of the sixth order Boussinesq equation in a quarter plane ⋮ Forced nonlinear oscillations of elastic membranes ⋮ Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane ⋮ Existence theory for the Boussinesq equation in modulation spaces ⋮ Oscillatory integral estimates and global well-posedness for the 2D Boussinesq equation ⋮ Improved local well-posedness for the periodic ``good Boussinesq equation ⋮ Well-posedness for the Cauchy problem associated to a periodic Boussinesq equation ⋮ Dispersive estimates and asymptotic behavior for a generalized Boussinesq-type equation ⋮ The qualitative behavior for one-dimensional sixth-order Boussinesq equation with logarithmic nonlinearity ⋮ Global existence and blow-up for the generalized sixth-order Boussinesq equation ⋮ Existence and scattering theory for Boussinesq type equations with singular data ⋮ Well-posedness and boundary controllability of a type Boussinesq equation ⋮ Asymptotic behavior of solutions of a generalized Boussinesq type equation ⋮ Local well-posedness for the sixth-order Boussinesq equation ⋮ Global existence and pointwise estimates of solutions for the multidimensional generalized Boussinesq-type equation ⋮ The asymptotic solution of the initial boundary value problem to a generalized Boussinesq equation ⋮ Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain ⋮ The Cauchy problem for the dissipative Boussinesq equation ⋮ On the periodic “good” Boussinesq equation ⋮ Cauchy problem for the multi-dimensional Boussinesq type equation ⋮ On the controllability of the Boussinesq equation in low regularity ⋮ Global existence and blow up for damped generalized Boussinesq equation ⋮ On the Initial‐Boundary Value Problem for the Linearized Boussinesq Equation ⋮ A <scp>Fourier</scp> pseudospectral method for the “good” <scp>Boussinesq</scp> equation with second‐order temporal accuracy ⋮ Existence and scattering of small solutions to a Boussinesq type equation of sixth order ⋮ On the spatially two-dimensional Boussinesq equation in a circular domain ⋮ Asymptotic behaviors of solutions to a sixth-order Boussinesq equation with logarithmic nonlinearity ⋮ Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source ⋮ The Cauchy problem for the Rosenau equation ⋮ Decay and scattering of solutions for a generalized Boussinesq equation ⋮ Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities ⋮ On the wave operator for the generalized Boussinesq equation ⋮ The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\). ⋮ The Cauchy problem for the nonlinear viscous Boussinesq equation in the \(L^q\) framework
This page was built for publication: