Existencia y regularidad de solución de la ecuación del calor en espacios de Sobolev periódico

In this article we prove that the Cauchy problem associated to the heat equation in periodic Sobolev spaces is well posed. We do this in an intuitive way using Fourier theory and in a fine version using Semigroups theory, inspired by works Iorio [1] and Santiago and Rojas [3]. Also, we study the rel...

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Bibliographic Details
Main Authors: Yolanda Santiago Ayala, Santiago Rojas Romero
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2019-07-01
Series:Selecciones Matemáticas
Subjects:
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2445