p-Adic elliptic quadratic forms,parabolic-type pseudodifferential equations with variable coefficients and Markov processes |
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| Authors: | O F Casas-Sánchez W A Zúñiga-Galindo |
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| Institution: | 1. Departamento de Matemáticas Ciudad Universitaria, Universidad Nacional de Colombia, Bogotá D.C., Colombia
2. Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional Departamento de Matemáticas, Unidad Querétaro Libramiento Norponiente #2000 Fracc. Real de Juriquilla, Santiago de Querétaro, Qro., 76230, México, México
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| Abstract: | In this article we study the Cauchy problem for a new class of parabolic-type pseudodifferential equations with variable coefficients for which the fundamental solutions are transition density functions of Markov processes in the four dimensional vector space over the field of p-adic numbers. |
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