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L. Escauriaza

3 papers hereh-index 322.8k citations59 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • first author3

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.AP3

identity via Semantic Scholar / OpenAlex

activity
20052008
collaborators

3 papers

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.AP2007

Convexity properties of solutions to the free Schrödinger equation with Gaussian decay

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

We study convexity properties of solutions to the free Schrodinger equation with Gaussian decay.

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, ∣Δu+∂t​u∣≤M(∣u∣+∣∇u∣), ∣u(x,t)∣≤MeM∣x∣2 in Rn×[0,T] and ∣u(x,0)∣≤Ck​e−k∣x∣2 in Rn and…

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