Add to ORKGThis paper is devoted to the well-posedness for dissipative KdV equations $u_t+u_{xxx}+|D_x|^{2\alpha}u+uu_x=0$, $0-3/4$ for $\alpha\leq1/2$ and $s>-3/(5-2\alpha)$ for $\alpha>1/2$
The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well...
We study some well-posedness issues of the initial value problem associated with the equation $...
By the inverse method we show that the Korteweg–de Vries equation (KdV) ∂tv(x,t)=-∂x3v(x,t)+6v(x,t)∂...
AbstractWe consider a dissipative version of the modified Korteweg–de Vries equation ut+uxxx−uxx+(u3...
We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...
We prove that the Korteweg-de Vries initial-value problem is globally well-posed in H-3/4(R) and the...
We study the large time behavior of solutions to the dissipative Korteweg-de Vrie equations $u_t+u_{...
Abstract. We prove the sharp global well-posedness result for the initial value problem (IVP) associ...
AbstractWe study the global well-posedness for the transitional Korteweg-de Vries equation in Sobole...
30 pagesIn this paper, KdV-type equations with time-and space-dependent coefficients are considered....
30 pagesIn this paper, KdV-type equations with time-and space-dependent coefficients are considered....
AbstractConsidering the Cauchy problem for the Korteweg–de Vries–Burgers equationut+uxxx+ϵ|∂x|2αu+(u...
International audienceWe prove that the modified KdV equation is unconditionally well-posed in H s (...
We prove the well-posedness of the generalized Korteweg-de Vries-Burgers equation with nonlinear dis...
The Kawahara equation has fewer symmetries than the KdV equation; in particular, it has no invariant...
The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well...
We study some well-posedness issues of the initial value problem associated with the equation $...
By the inverse method we show that the Korteweg–de Vries equation (KdV) ∂tv(x,t)=-∂x3v(x,t)+6v(x,t)∂...
AbstractWe consider a dissipative version of the modified Korteweg–de Vries equation ut+uxxx−uxx+(u3...
We Study the Cauchy problem of a dissipative version of the KdV equation With rough initial data. By...
We prove that the Korteweg-de Vries initial-value problem is globally well-posed in H-3/4(R) and the...
We study the large time behavior of solutions to the dissipative Korteweg-de Vrie equations $u_t+u_{...
Abstract. We prove the sharp global well-posedness result for the initial value problem (IVP) associ...
AbstractWe study the global well-posedness for the transitional Korteweg-de Vries equation in Sobole...
30 pagesIn this paper, KdV-type equations with time-and space-dependent coefficients are considered....
30 pagesIn this paper, KdV-type equations with time-and space-dependent coefficients are considered....
AbstractConsidering the Cauchy problem for the Korteweg–de Vries–Burgers equationut+uxxx+ϵ|∂x|2αu+(u...
International audienceWe prove that the modified KdV equation is unconditionally well-posed in H s (...
We prove the well-posedness of the generalized Korteweg-de Vries-Burgers equation with nonlinear dis...
The Kawahara equation has fewer symmetries than the KdV equation; in particular, it has no invariant...
The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well...
We study some well-posedness issues of the initial value problem associated with the equation $...
By the inverse method we show that the Korteweg–de Vries equation (KdV) ∂tv(x,t)=-∂x3v(x,t)+6v(x,t)∂...