Existencia y dependencia continua de solución de la ecuación Boussinesq de onda en espacios de Sobolev periódico

Autor:	Victor Papuico Bernardo, Yolanda Santiago Ayala
Jazyk:	Spanish; Castilian
Rok vydání:	2020
Předmět:	family of strongly continuous operators boussinesq equation fourier theory periodic sobolev spaces Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	Selecciones Matemáticas, Vol 7, Iss 01, Pp 74-96 (2020)
Druh dokumentu:	article
ISSN:	2411-1783
DOI:	10.17268/sel.mat.2020.01.07
Popis:	We will begin our study, focusing on the theory of periodic Sobolev spaces, for this we cite [1]. Then, we will prove that the non-homogeneous Boussinesq equation has a local solution and that the solution also continually depends on the initial data and non-homogeneity, we do this intuitively using Fourier theory and in an elegant version introducing families of strongly continuous operators, inspired by the work of Iorio [1], Santiago and Rojas [4], [3] and [2].
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a7f7884672bd4032bdaf7388e540abf3 Zobrazit plný text záznamu View record in DOAJ