We prove that the initial value problem (IVP) for the cubic defo-cusing 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.
Abstract. In this paper we study the local and global regularity properties of the cubic nonlinear S...
In this thesis, we establish global well-posedness of the following Cauchy problem for a higher-orde...
We prove that the 3D cubic defocusing semi-linear wave equation is globally well-posed for data in t...
AbstractThe initial–boundary value problem for the “good” Boussinesq equation on the bounded domain ...
AbstractThe paper studies the existence and non-existence of global weak solutions to the Cauchy pro...
Recently, by using the argument of Lei & Lin (2011) [11], Liu & Gao (2017) [13] establish the global...
AbstractWe prove that the initial value problem (IVP) for the critical generalized KdV equation ut+u...
We will give conditions which will guarantee the existence of global weak solutions of the Boussines...
AbstractIn this paper, we prove that the cubic fourth-order wave equation is globally well-posed in ...
We prove the global well-posedness of the two-dimensional Boussinesq equations with only vertical di...
In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero ...
In this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show that, u...
International audiencen this paper we prove the global well-posedness of the two-dimensional Boussin...
We prove global well-posedness for the \(L^2\)-critical cubic defocusing nonlinear Schr odinger equa...
In this paper, we prove the global well-posedness for the Newton-Boussinesq equations in $\mathbb R^...
Abstract. In this paper we study the local and global regularity properties of the cubic nonlinear S...
In this thesis, we establish global well-posedness of the following Cauchy problem for a higher-orde...
We prove that the 3D cubic defocusing semi-linear wave equation is globally well-posed for data in t...
AbstractThe initial–boundary value problem for the “good” Boussinesq equation on the bounded domain ...
AbstractThe paper studies the existence and non-existence of global weak solutions to the Cauchy pro...
Recently, by using the argument of Lei & Lin (2011) [11], Liu & Gao (2017) [13] establish the global...
AbstractWe prove that the initial value problem (IVP) for the critical generalized KdV equation ut+u...
We will give conditions which will guarantee the existence of global weak solutions of the Boussines...
AbstractIn this paper, we prove that the cubic fourth-order wave equation is globally well-posed in ...
We prove the global well-posedness of the two-dimensional Boussinesq equations with only vertical di...
In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero ...
In this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show that, u...
International audiencen this paper we prove the global well-posedness of the two-dimensional Boussin...
We prove global well-posedness for the \(L^2\)-critical cubic defocusing nonlinear Schr odinger equa...
In this paper, we prove the global well-posedness for the Newton-Boussinesq equations in $\mathbb R^...
Abstract. In this paper we study the local and global regularity properties of the cubic nonlinear S...
In this thesis, we establish global well-posedness of the following Cauchy problem for a higher-orde...
We prove that the 3D cubic defocusing semi-linear wave equation is globally well-posed for data in t...