Add to ORKG(Communicated by Igor Kukavica) Abstract. Motivated by the work of Grujic ́ and Kalisch, [Z. Grujic ́ and H. Kalisch, Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions, Differential and Integral Equations 15 (2002) 1325–1334], we prove the local well-posedness for the periodic KdV equation in spaces of periodic functions analytic on a strip around the real axis without shrinking the width of the strip in time. 1 Introduction This paper studies the local well-posedness of the Cauchy prob-lem for the generalized periodic Korteweg-deVries equation (GKdV){ ∂tu+ ∂ 3 xxxu+
AbstractWe consider a system of Korteweg–de Vries (KdV) equations coupled through nonlinear terms, c...
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....
AbstractIn the periodic case, it is proved that the Cauchy problem for the generalized Korteweg–de V...
In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz...
In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz...
AbstractIn this paper, we set up the local well-posedness of the initial value problem for the dispe...
In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz...
We establish local well-posedness in Sobolev spaces $H^s(\mathbb{T})$, with $s\geq -1/2$, for the in...
International audienceWe prove that the modified KdV equation is unconditionally well-posed in H s (...
We consider the inital value problem for the periodic KdV equation, (1) ut D uxxx C 6uux; u ˇ̌ tD0 D...
AbstractWe study the global well-posedness for the transitional Korteweg-de Vries equation in Sobole...
We consider the inital value problem for the periodic KdV equation, (1) ut D uxxx C 6uux; u ˇ̌ tD0 D...
In this thesis we study the global in time solutions of some dispersive partial differential equatio...
We prove that the Korteweg-de Vries initial-value problem is globally well-posed in H-3/4(R) and the...
AbstractWe consider a system of Korteweg–de Vries (KdV) equations coupled through nonlinear terms, c...
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....
AbstractIn the periodic case, it is proved that the Cauchy problem for the generalized Korteweg–de V...
In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz...
In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz...
AbstractIn this paper, we set up the local well-posedness of the initial value problem for the dispe...
In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz...
We establish local well-posedness in Sobolev spaces $H^s(\mathbb{T})$, with $s\geq -1/2$, for the in...
International audienceWe prove that the modified KdV equation is unconditionally well-posed in H s (...
We consider the inital value problem for the periodic KdV equation, (1) ut D uxxx C 6uux; u ˇ̌ tD0 D...
AbstractWe study the global well-posedness for the transitional Korteweg-de Vries equation in Sobole...
We consider the inital value problem for the periodic KdV equation, (1) ut D uxxx C 6uux; u ˇ̌ tD0 D...
In this thesis we study the global in time solutions of some dispersive partial differential equatio...
We prove that the Korteweg-de Vries initial-value problem is globally well-posed in H-3/4(R) and the...
AbstractWe consider a system of Korteweg–de Vries (KdV) equations coupled through nonlinear terms, c...
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....