University of the Basque Country

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20022009

most citedStrong spin-orbit splitting on Bi surfaces

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math.AP2009★ 2 cited

Improved intermediate asymptotics for the heat equation

Jean-Philippe Bartier, Adrien Blanchet, Jean Dolbeault +1

This letter is devoted to results on intermediate asymptotics for the heat equation. We study the convergence towards a stationary solution in self-similar variables. By assuming t…

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…