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
收藏
页数：23
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