C. Kenig

activity

19992026

most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 1.9k across the 87 of their papers we have counts for

collaborators

Showing 2005Show all

4 papers · 1 filter

math.AP2005★ 6 cited

The Cauchy problem for Schrodinger flows into Kahler manifolds

Carlos Kenig, Daniel Pollack, Gigliola Staffilani +1

This paper has been withdrawn by the authors.

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 $H_{r}^{σ}$ , $σ \geq 0$ .

The Cauchy problem for Schrodinger flows into Kahler manifolds

Global wellposedness of the modified Benjamin-Ono equation with initial data in H1/2

Decay at infinity of caloric functions within characteristic hyperplanes

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

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