C. Kenig

activity

20002005

most citedGlobal well-posedness of the Benjamin-Ono equation in low-regularity spaces

10 citations · 10 across the 6 of their papers we have counts for

collaborators

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8 papers · 1 filter

math.AP2005

Global wellposedness of the modified Benjamin-Ono equation with initial data in $H^{1/2}$

Carlos E. Kenig, Hideo Takaoka

We prove that the modified Benjamin-Ono equation is globally wellposed in $H^{s}$ for $s \geq 1/2$ .

math.AP2005

Decay at infinity of caloric functions within characteristic hyperplanes

L. Escauriaza, C. E. Kenig, G. Ponce +1

It is shown that a function $u$ satisfying, $∣Δ u + \partial_{t} u ∣ \leq M (∣ u ∣ + ∣\nabla u ∣)$ , $∣ u (x, t) ∣ \leq M e^{M ∣ x ∣^{2}}$ in $R^{n} \times [0, T]$ and $∣ u (x, 0) ∣ \leq C_{k} e^{- k ∣ x ∣^{2}}$ in $R^{n}$ and…

math.AP2005★ 10 cited

Global well-posedness of the Benjamin-Ono equation in low-regularity spaces

Alexandru Ionescu, Carlos Kenig

We prove that the Benjamin-Ono initial value problem is globally well-posed in the Sobolev spaces $H_{r}^{σ}$ , $σ \geq 0$ .

math.AP2004

The Calderón problem with partial data

C. E. Kenig, J. Sjoestrand, G. Uhlmann

In this paper we improve an earlier result by Bukhgeim and Uhlmann, by showing that in dimension larger than or equal to three, the knowledge of the Cauchy data for the Schrödinger…

math.AP2002

Local well-posedness for dispersion generalized Benjamin-Ono equations

J. Colliander, C. Kenig, G. Staffilani

In this paper we study local well-posedness in the energy space for a family of dispersive equations that can be seen as dispersive ``interpolations'' between the KdV and the Benja…

math.AP2001

On solutions for the Kadomtsev-Petviashvili I equation