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

Departamento de Matemáticas

Instituto Politécnico Nacional

Producción: Contribución a una revista › Artículo › revisión exhaustiva

7 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	289-317
Número de páginas	29
Publicación	Publications of the Research Institute for Mathematical Sciences
Volumen	51
N.º	2
DOI	https://doi.org/10.4171/PRIMS/156
Estado	Publicada - 2015

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

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.",

keywords = "Markov processes, Non- archimedean analysis, Parabolic-type equations, Ultradiffusion, p-adic fields",

author = "Chac{\'o}n-Cortes, {L. F.} and Z{\'u}{\~n}iga-Galindo, {W. A.}",

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

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