Carlos E. Kenig

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

10 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

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 $H_{r}^{σ}$ , $σ \geq 0$ .

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 $H^{1/2}$