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

Abstract

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].

Keywords

• family of strongly continuous operators
• boussinesq equation
• fourier theory
• periodic sobolev spaces