Discrete Carleman estimates and three balls inequalities
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 u...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 October 2021
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| In: |
Calculus of variations and partial differential equations
Year: 2021, Volume: 60, Issue: 6, Pages: 1-28 |
| ISSN: | 1432-0835 |
| DOI: | 10.1007/s00526-021-02098-z |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00526-021-02098-z
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| Author Notes: | Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland, Diana Stan |
| Summary: | 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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| Item Description: | Gesehen am 30.12.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0835 |
| DOI: | 10.1007/s00526-021-02098-z |