Add to ORKGIn this note we show interesting local smoothing effects for the unitary group associated to Korteweg-de Vries type equation. Our main tools are the Hardy-Littlewood-Sobolev and Hausdorff-Young inequalities. Using our local smoothing effect and a dual version, we estimate the growth of the norm of solutions of the complex modified KdV equation
Abstract. We consider the Hermite semigroup, generated by the operator ∆ − y 2 · ∇ in RN. We estab...
Abstract. This paper is concerned with the internal stabilization of the generalized Korteweg– de Vr...
AbstractThe existence of the global attractor of a weakly damped, forced Korteweg–de Vries equation ...
Abstract. In this note we show interesting local smoothing effects for the unitary group associated ...
AbstractWe study the smoothness of solutions of the initial value problem for the generalized Kortew...
AbstractWe study the smoothness of solutions of the initial value problem for the generalized Kortew...
We prove that the solution-map u0 7 → u associated with the KdV equation cannot be continuously exte...
We study the smoothing effect for the following Korteweg-de Vries equation: (1.1) $\{$ $\partial_{t}...
We consider the initial value problem for the reduced fifth-order KdV-type equation: −5−10(3)+10()2=...
AbstractIn this paper we study the smoothness properties of solutions of some nonlinear equations of...
We study some well-posedness issues of the initial value problem associated with the equation $...
In this note we give an overview of results concerning the Korteweg-de Vries equation ut = −uxxx + 6...
The complex modified Korteweg-de Vries (CMKdV) equation which can reduce to modified Korteweg-de Vri...
The existence of the global attractor of a weakly damped, forced Korteweg-de Vries equation in the p...
We consider the Cauchy problem of the fifth-order equation arising from the Korteweg-de Vries (KdV) ...
Abstract. We consider the Hermite semigroup, generated by the operator ∆ − y 2 · ∇ in RN. We estab...
Abstract. This paper is concerned with the internal stabilization of the generalized Korteweg– de Vr...
AbstractThe existence of the global attractor of a weakly damped, forced Korteweg–de Vries equation ...
Abstract. In this note we show interesting local smoothing effects for the unitary group associated ...
AbstractWe study the smoothness of solutions of the initial value problem for the generalized Kortew...
AbstractWe study the smoothness of solutions of the initial value problem for the generalized Kortew...
We prove that the solution-map u0 7 → u associated with the KdV equation cannot be continuously exte...
We study the smoothing effect for the following Korteweg-de Vries equation: (1.1) $\{$ $\partial_{t}...
We consider the initial value problem for the reduced fifth-order KdV-type equation: −5−10(3)+10()2=...
AbstractIn this paper we study the smoothness properties of solutions of some nonlinear equations of...
We study some well-posedness issues of the initial value problem associated with the equation $...
In this note we give an overview of results concerning the Korteweg-de Vries equation ut = −uxxx + 6...
The complex modified Korteweg-de Vries (CMKdV) equation which can reduce to modified Korteweg-de Vri...
The existence of the global attractor of a weakly damped, forced Korteweg-de Vries equation in the p...
We consider the Cauchy problem of the fifth-order equation arising from the Korteweg-de Vries (KdV) ...
Abstract. We consider the Hermite semigroup, generated by the operator ∆ − y 2 · ∇ in RN. We estab...
Abstract. This paper is concerned with the internal stabilization of the generalized Korteweg– de Vr...
AbstractThe existence of the global attractor of a weakly damped, forced Korteweg–de Vries equation ...