Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle

Details Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle Quantitative unique continuation, logarithmic convexity of Gaussian means and Hardy's uncertainty principle

2008-10-06

arxiv.org/abs/0810.1042v1

Mathematics

Analysis of PDEs

The paper is based on lectures presented at WHAPDE 2008, Merida, Mexico. To appear in Contemp. Math. volume in honor of V.Mazy

Scientific paper

In this paper we describe some recent works on quantitative unique
continuation for elliptic, parabolic and dispersive equations. The elliptic
results are joint work with J.Bourgain, while the remainder of the works
discussed are joint works with L.Escauriaza, G.Ponce and L.Vega.

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