Brief introduction to distributions and to Hörmander spaces Bp,k

• Autor: Ortiz Fernández, Alejandro
• Formato: artículo
• Fecha de Publicación: 2024
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: español
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/6161
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/6161
• Nivel de acceso: acceso abierto
• Materia: Solución débil; espacio de Sobolev; distribución; Dirichlet; espacio de Hörmander; Weak solution; Sobolev space; distribution; Hörmander space

Partial differential equations (PDE’s) are, we believe, little known in our country, especially at a medium-advanced level, in particular, their historical roots and methods developed in their evolution. The objective of this article is to contribute to a knowledge in this direction especially to colleagues and students who are interested in studying and researching in this central Branch of mathematics. As a model we have chosen H¨ormander’s book, [1], whose study and teaching will be a sign of great progress in this direction in our country. In this article we only give an introduction to part I dedicated to functional analysis and which includes chapters I and II that deal with the theory of distributions and some special spaces of distributions, respectively.