Discrete Carleman estimates and three balls inequalities

Fernández-Bertolin, Aingeru; Roncal, Luz; Rüland, Angkana; Stan, Diana

doi:10.1007/s00526-021-02098-z

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Identificadores

URI: http://hdl.handle.net/10902/24528

DOI: 10.1007/s00526-021-02098-z

ISSN: 0944-2669

ISSN: 1432-0835

Fecha

2021-12

Derechos

Attribution 4.0 International

Publicado en

Calculus of Variations and Partial Differential Equations, 2021, 60 (6), 239

Editorial

Springer Nature

Enlace a la publicación

https://doi.org/10.1007/s00526-021-02098-z

Resumen/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.

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