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Abstract: We 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.
Fuente: Calculus of Variations and Partial Differential Equations, 2021, 60 (6), 239
Publisher: Springer Nature
Publication date: 01/12/2021
No. of pages: 28
Publication type: Article
DOI: 10.1007/s00526-021-02098-z
ISSN: 0944-2669,1432-0835
Spanish project: PID2020-113156GB-I00
Publication Url: https://doi.org/10.1007/s00526-021-02098-z
Consult in UCrea Read publication
FERNÁNDEZ-BERTOLIN, AINGERU
LUZ RONCAL GOMEZ
RÜLAND, ANGKANA
DIANA STAN
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