Non-Archimedean Pseudodifferential Operators and Feller Semigroups
- Authors: Torresblanca-Badillo A.1, Zúñiga-Galindo W.A.2
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Affiliations:
- Departamento de Matemáticas y Estádistica
- Departamento de Matemáticas, Unidad Querétaro, Libramiento Norponiente #2000, Fracc. Real de Juriquilla
- Issue: Vol 10, No 1 (2018)
- Pages: 57-73
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/200936
- DOI: https://doi.org/10.1134/S2070046618010041
- ID: 200936
Cite item
Abstract
In this article we study a large class of non-Archimedean pseudodifferential operators whose symbols are negative definite functions.We prove that these operators extend to generators of Feller semigroups. In order to study these operators, we introduce a new class of anisotropic Sobolev spaces, which are the natural domains for the operators considered here.We also study the Cauchy problem for certain pseudodifferential equations.
About the authors
Anselmo Torresblanca-Badillo
Departamento de Matemáticas y Estádistica
Author for correspondence.
Email: atorresblanca@uninorte.edu.co
Colombia, Km. 5 Vía Puerto Colombia, Barranquilla
W. A. Zúñiga-Galindo
Departamento de Matemáticas, Unidad Querétaro, Libramiento Norponiente #2000, Fracc. Real de Juriquilla
Email: atorresblanca@uninorte.edu.co
Mexico, Santiago de Querétaro, Qro., 76230
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