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

被引：4

作者：

Torresblanca-Badillo, Anselmo ^{[1
]}

Albarracin-Mantilla, Adriana. A. A. ^{[2
]}

机构：

[1] Univ Norte, Dept Matemat & Estadist, Km 5 Via Puerto Colombia, Barranquilla, Colombia

[2] Univ Ind Santander, Escuela Matemat, Cra 27,Calle 9, Bucaramanga 680001, Santander, Colombia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2023年 / 14卷 / 02期

关键词：

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

D O I：

10.1007/s11868-023-00514-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：23

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