Non-local operators, non-Archimedean parabolic-type equations with variable coefficients and Markov processes

L. F. Chacón-Cortes; W. A. Zúñiga-Galindo

doi:10.4171/PRIMS/156

Non-local operators, non-Archimedean parabolic-type equations with variable coefficients and Markov processes

L. F. Chacón-Cortes, W. A. Zúñiga-Galindo

Department of Mathematics

Instituto Politécnico Nacional

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this article, we introduce a new class of parabolic-type pseudodifferential equations with variable coefficients over the p-adics. We establish the existence and uniqueness of solutions for the Cauchy problem associated with these equations. The fundamental solutions of these equations are connected withMarkov processes. Some of these equations are related to new models of complex systems.

Original language	English
Pages (from-to)	289-317
Number of pages	29
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	51
Issue number	2
DOIs	https://doi.org/10.4171/PRIMS/156
State	Published - 2015

Keywords

Markov processes
Non- archimedean analysis
Parabolic-type equations
Ultradiffusion
p-adic fields

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10.4171/PRIMS/156

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abstract = "In this article, we introduce a new class of parabolic-type pseudodifferential equations with variable coefficients over the p-adics. We establish the existence and uniqueness of solutions for the Cauchy problem associated with these equations. The fundamental solutions of these equations are connected withMarkov processes. Some of these equations are related to new models of complex systems.",

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AU - Chacón-Cortes, L. F.

AU - Zúñiga-Galindo, W. A.

PY - 2015

Y1 - 2015

N2 - In this article, we introduce a new class of parabolic-type pseudodifferential equations with variable coefficients over the p-adics. We establish the existence and uniqueness of solutions for the Cauchy problem associated with these equations. The fundamental solutions of these equations are connected withMarkov processes. Some of these equations are related to new models of complex systems.

AB - In this article, we introduce a new class of parabolic-type pseudodifferential equations with variable coefficients over the p-adics. We establish the existence and uniqueness of solutions for the Cauchy problem associated with these equations. The fundamental solutions of these equations are connected withMarkov processes. Some of these equations are related to new models of complex systems.

KW - Markov processes

KW - Non- archimedean analysis

KW - Parabolic-type equations

KW - Ultradiffusion

KW - p-adic fields

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M3 - Article

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JF - Publications of the Research Institute for Mathematical Sciences

IS - 2

ER -

Non-local operators, non-Archimedean parabolic-type equations with variable coefficients and Markov processes

Abstract

Keywords

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