New classes of p-adic pseudo-differential operators with negative definite symbols and their applications

被引：0

作者：

Torresblanca-Badillo, Anselmo ^{[1
,2
]}

Bolano-Benitez, Edwin A. ^{[2
]}

Gutierrez-Garcia, Ismael ^{[2
]}

Estala-Arias, Samuel ^{[3
]}

机构：

[1] Univ Sucre, Fac Educ & Ciencias, Dept Matemat, Cra 28 5-267,Barrio Puerta Roja, Sincelejo, Sucre, Colombia

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

[3] Univ Autonoma Queretaro, Fac Ingn, Cerro Campanas S-N, Santiago De Queretaro 76010, Qro, Mexico

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2024年 / 15卷 / 04期

关键词：

Pseudo-differential operators; Heat kernel; Markov processes; Feller semigroups; Convolution semigroups; p-adic analysis; FELLER SEMIGROUPS;

D O I：

10.1007/s11868-024-00616-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces new classes of p-adic operators representingm-dissipativepseudo-differential operators with negative definite symbols under certain conditions.We will study new types of semilinear problems and martingale problems associatedwith these operators, and we will prove that these pseudo-differential operators are the infinitesimal generators of strongly continuous contraction semigroups on L2(Qnp).Also, this article introduces new families of measures, resolvent of measures, positivedefinite measures, Feller semigroups, and Markov processes

引用

页数：22

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