Some further classes of pseudo-differential operators in the <i>p</i>-adic context and their applications.

Torresblanca-Badillo, Anselmo; Albarracín-Mantilla, Adriana A

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

Torresblanca-Badillo, Anselmo; Albarracín-Mantilla, Adriana A.

Afiliação

Torresblanca-Badillo A; Departamento de Matemáticas y Estadística, Universidad del Norte, Km. 5 Vía Puerto Colombia, Barranquilla, Colombia.
Albarracín-Mantilla AA; Escuela de Matemáticas, Universidad Industrial de Santander, Cra. 27, Calle 9, Bucaramanga, Santander, 680001 Colombia.

J Pseudodiffer Oper Appl ; 14(2): 24, 2023.

Article em En | MEDLINE | ID: mdl-36969910

RESUMO

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.

Palavras-chave

Feller semigroups; Heat kernel; Markov processes; Pseudo-differential operators; Transition functions; p-Adic analysis

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Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Idioma: En Revista: J Pseudodiffer Oper Appl Ano de publicação: 2023 Tipo de documento: Article País de afiliação: Colômbia País de publicação: Suíça

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