Unique Continuation at the Boundary for Harmonic Functions in <i>C</i> <sup>1</sup> Domains and Lipschitz Domains with Small Constant
نویسندگان
چکیده
Let be a domain, or more generally, Lipschitz domain with small local constant. In this paper it is shown that if u function harmonic in and continuous , which vanishes relatively open subset ; moreover, the normal derivative of positive surface measure; then identically zero. © 2021 The Authors. Communications on Pure Applied Mathematics published by Wiley Periodicals LLC.
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2021
ISSN: ['1097-0312', '0010-3640']
DOI: https://doi.org/10.1002/cpa.22025