Parabolic type equations on p−adic balls
In this article we solve the Cauchy problem associated to a radial symbol constant on a ball of radius pr and we show that the fundamental solution, Zr(x, t), vanishes outside the ball of radius p−r.
- Autores:
-
Casas-Sánchez, Oscar
Rodríguez-Vega, Jhon Jaime
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2015
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/61898
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/61898
http://bdigital.unal.edu.co/60710/
- Palabra clave:
- 51 Matemáticas / Mathematics
p−adic numbers
pseudodifferential equations
Cauchy problem
Números p−ádicos
ecuaciones pseudodiferenciales
problema de Cauchy.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | In this article we solve the Cauchy problem associated to a radial symbol constant on a ball of radius pr and we show that the fundamental solution, Zr(x, t), vanishes outside the ball of radius p−r. |
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