Some further classes of pseudo-differential operators in the p-adic context and their applications

The purpose of this article is to study new non-Archimedean pseudo-differential operators whose symbols are determined from the behavior of two functions defined on the p-adic numbers. Thanks to the characteristics of our symbols, we can find connections between these operators and new types of non-...

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Detalles Bibliográficos
Autores principales: Torresblanca-Badillo, Anselmo, Albarracín-Mantilla, Adriana A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10024605/
https://www.ncbi.nlm.nih.gov/pubmed/36969910
http://dx.doi.org/10.1007/s11868-023-00514-w
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author Torresblanca-Badillo, Anselmo
Albarracín-Mantilla, Adriana A.
author_facet Torresblanca-Badillo, Anselmo
Albarracín-Mantilla, Adriana A.
author_sort Torresblanca-Badillo, Anselmo
collection PubMed
description The purpose of this article is to study new non-Archimedean pseudo-differential operators whose symbols are determined from the behavior of two functions defined on the p-adic numbers. Thanks to the characteristics of our symbols, we can find connections between these operators and new types of non-homogeneous differential equations, Feller semigroups, contraction semigroups and strong Markov processes.
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spelling pubmed-100246052023-03-21 Some further classes of pseudo-differential operators in the p-adic context and their applications Torresblanca-Badillo, Anselmo Albarracín-Mantilla, Adriana A. J Pseudodiffer Oper Appl Article The purpose of this article is to study new non-Archimedean pseudo-differential operators whose symbols are determined from the behavior of two functions defined on the p-adic numbers. Thanks to the characteristics of our symbols, we can find connections between these operators and new types of non-homogeneous differential equations, Feller semigroups, contraction semigroups and strong Markov processes. Springer International Publishing 2023-03-18 2023 /pmc/articles/PMC10024605/ /pubmed/36969910 http://dx.doi.org/10.1007/s11868-023-00514-w Text en © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Torresblanca-Badillo, Anselmo
Albarracín-Mantilla, Adriana A.
Some further classes of pseudo-differential operators in the p-adic context and their applications
title Some further classes of pseudo-differential operators in the p-adic context and their applications
title_full Some further classes of pseudo-differential operators in the p-adic context and their applications
title_fullStr Some further classes of pseudo-differential operators in the p-adic context and their applications
title_full_unstemmed Some further classes of pseudo-differential operators in the p-adic context and their applications
title_short Some further classes of pseudo-differential operators in the p-adic context and their applications
title_sort some further classes of pseudo-differential operators in the p-adic context and their applications
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10024605/
https://www.ncbi.nlm.nih.gov/pubmed/36969910
http://dx.doi.org/10.1007/s11868-023-00514-w
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