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

2008/10/06 by Carlos E. Kenig, Kenig, Carlos E.
Mathematics · #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q53

paper · pdf · doi:10.48550/arxiv.0810.1042

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

arxiv created 2008/10/06 · arxiv updated 2009/12/01

Abstract

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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