Non-radial functions, nonlocal operators and Markov processes over p-adic numbers
The main goal of this article is to study a new class of nonlocal operators and the Cauchy problem for certain parabolic-type pseudodifferential equations naturally associated with them. The fundamental solutions of these equations are transition functions of Markov processes on an n-dimensional...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | article |
| Lenguaje: | EN ES |
| Publicado: |
Pontificia Universidad Javeriana
2019
|
| Materias: | |
| Acceso en línea: | https://doaj.org/article/429f991133234843a608b6179acd6150 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| Sumario: | The main goal of this article is to study a new class of nonlocal operators and
the Cauchy problem for certain parabolic-type pseudodifferential equations
naturally associated with them. The fundamental solutions of these equations
are transition functions of Markov processes on an n-dimensional vector space
over the p-adic numbers. We also study some properties of these Markov
processes, including the first passage time problem.
|
|---|