G. Ponce

activity

20002008

collaborators

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3 papers · 1 filter

math.AP2008

Hardy's Uncertainty Principle, Convexity and Schrödinger Evolutions

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

We prove the logarithmic convexity of certain quantities, which measure the quadratic exponential decay at infinity and within two characteristic hyperplanes of solutions of Schröd…

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.AP2000

On the support of solutions to the g-KdV equation

Carlos E. Kenig, Gustavo Ponce, Luis Vega

We discuss the question whether solutions of the initial value problem for the generalized KdV equation can have compact support at two different times.