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- W2955128580 abstract "In this paper, we obtain estimates on the quantitative strata of the critical set of non-trivial harmonic functions $u$ which vanish continuously on $V subset partial Omega$, a relatively open subset of the boundary of a convex domain $Omega subset mathbb{R}^n$. In particular, these estimates improve dimensional estimates on ${|nabla u| =0}$ both in $V subset partial Omega$ and as it approaches $V cap overline{Omega}$. These estimates are not obtainable by naively combining interior and boundary estimates, and represent a significant improvement upon existing results for boundary analytic continuation in the convex case." @default.
- W2955128580 created "2019-07-12" @default.
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- W2955128580 date "2022-11-07" @default.
- W2955128580 modified "2023-09-27" @default.
- W2955128580 title "Unique continuation on convex domains" @default.
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- W2955128580 doi "https://doi.org/10.4171/rmi/1389" @default.
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