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arXiv · 1306.1418

A note on unique continuation for discrete harmonic functions

Maru Guadie·Eugenia Malinnikova
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Abstract

In this note we give a quantitative version of the following simple observation: a discrete harmonic function on the lattice may vanish at each point of a large cube without being zero identically, at the same time there is a version of three balls theorem for discrete harmonic functions since they resemble continuous ones on large scales.

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Maru Guadie, Eugenia Malinnikova. 2013-06-06. A note on unique continuation for discrete harmonic functions. https://doi.org/10.1007/s40315-014-0076-9

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