The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in $H^s(\mathbb{R})$ for -3/10 < s
AbstractWe consider a dissipative version of the modified Korteweg–de Vries equation ut+uxxx−uxx+(u3...
An initial boundary-value problem in a half-strip with one boundary condition for the Korteweg-de Vr...
We consider the initial value problem associated with a system consisting modified Korteweg-de Vries...
The initial value problem for the generalized Korteweg-deVries equation of order three on the line i...
We prove that the Korteweg-de Vries initial-value problem is globally well-posed in H-3/4(R) and the...
AbstractWe study the global well-posedness for the transitional Korteweg-de Vries equation in Sobole...
We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...
We study some well-posedness issues of the initial value problem associated with the equation $...
Two initial-boundary-value problems for the Korteweg-de Vries equation in a half-strip with two boun...
AbstractWe prove that the initial value problem (IVP) for the critical generalized KdV equation ut+u...
Abstract. In this paper, we study a class of initial boundary value prob-lem (IBVP) of the Korteweg-...
We prove that the Cauchy problem of the Schrodinger-Korteweg-deVries (NLS-KdV) system for periodic f...
AbstractWe prove that the Korteweg–de Vries initial-value problem is globally well-posed in H−3/4(R)...
Abstract. We prove the sharp global well-posedness result for the initial value problem (IVP) associ...
We establish local well-posedness in Sobolev spaces $H^s(\mathbb{T})$, with $s\geq -1/2$, for the in...
AbstractWe consider a dissipative version of the modified Korteweg–de Vries equation ut+uxxx−uxx+(u3...
An initial boundary-value problem in a half-strip with one boundary condition for the Korteweg-de Vr...
We consider the initial value problem associated with a system consisting modified Korteweg-de Vries...
The initial value problem for the generalized Korteweg-deVries equation of order three on the line i...
We prove that the Korteweg-de Vries initial-value problem is globally well-posed in H-3/4(R) and the...
AbstractWe study the global well-posedness for the transitional Korteweg-de Vries equation in Sobole...
We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...
We study some well-posedness issues of the initial value problem associated with the equation $...
Two initial-boundary-value problems for the Korteweg-de Vries equation in a half-strip with two boun...
AbstractWe prove that the initial value problem (IVP) for the critical generalized KdV equation ut+u...
Abstract. In this paper, we study a class of initial boundary value prob-lem (IBVP) of the Korteweg-...
We prove that the Cauchy problem of the Schrodinger-Korteweg-deVries (NLS-KdV) system for periodic f...
AbstractWe prove that the Korteweg–de Vries initial-value problem is globally well-posed in H−3/4(R)...
Abstract. We prove the sharp global well-posedness result for the initial value problem (IVP) associ...
We establish local well-posedness in Sobolev spaces $H^s(\mathbb{T})$, with $s\geq -1/2$, for the in...
AbstractWe consider a dissipative version of the modified Korteweg–de Vries equation ut+uxxx−uxx+(u3...
An initial boundary-value problem in a half-strip with one boundary condition for the Korteweg-de Vr...
We consider the initial value problem associated with a system consisting modified Korteweg-de Vries...