G. Ponce

activity

20002021

most citedThe IVP for the dispersion generalized Benjamin-Ono equation in weighted Sobolev spaces

54 citations · 205 across the 31 of their papers we have counts for

collaborators

Showing 2005 · math.APShow all

2 papers · 2 filters

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★ 12 cited

On unique continuation of solutions of Schrödinger equations

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

We study uniqueness properties of solutions of Schrödinger equations. The aim is to obtain sufficient conditions on the decay behavior of the difference of two solution $u_{1} - u_{2}$ o…