Discrete Carleman estimates and three balls inequalities
[EN]We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrodinger 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 hol...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad del País Vasco |
| Repositorio: | Addi. Archivo Digital para la Docencia y la Investigación |
| OAI Identifier: | oai:addi.ehu.eus:10810/54515 |
| Acceso en línea: | http://hdl.handle.net/10810/54515 |
| Access Level: | acceso abierto |
| Palabra clave: | primary 39A12 |
| Sumario: | [EN]We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrodinger 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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