Existencia y Dependencia Continua de la Solución de la Ecuación de Onda no Homogénea en Espacios de Sobolev Periódico

In this article, we first prove that the initial value problem associated to the homogeneous wave equation in periodic Sobolev spaces has a global solution and the solution has continuous dependence with respect to the initial data, in [0; T], T > 0. We do this in an intuitive way using Fourier t...

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Bibliographic Details
Main Authors: Yolanda Santiago Ayala, Santiago Rojas Romero
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2020-07-01
Series:Selecciones Matemáticas
Subjects:
Online Access:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/2957/3286