Discrete Carleman estimates and three balls inequalities
2021 ◽
Vol 60
(6)
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Keyword(s):
AbstractWe prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the unique continuation property fails and the continuum setting in which the unique continuation property is known to hold under suitable regularity assumptions. As a key auxiliary result which might be of independent interest we present a Carleman estimate for these discrete operators.
2020 ◽
Vol 26
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pp. 79
2014 ◽
Vol 90
(1)
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pp. 90-98
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2008 ◽
Vol 51
(7)
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pp. 1215-1231
2017 ◽
Vol 37
(1)
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pp. 169-188
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2020 ◽