Distribution theory and fundamental solutions of differential operators


Autoria(s): Eceizabarrena Pérez, Daniel
Contribuinte(s)

Duoandikoetxea Zuazo, Francisco Javier

Departamento de Matemáticas, FCT

Matematika Saila, ZTF

Grado en Matemáticas

Matematikako Gradua

Data(s)

27/04/2016

27/04/2016

27/04/2016

25/06/2015

Resumo

The objective of this dissertation is to study the theory of distributions and some of its applications. Certain concepts which we would include in the theory of distributions nowadays have been widely used in several fields of mathematics and physics. It was Dirac who first introduced the delta function as we know it, in an attempt to keep a convenient notation in his works in quantum mechanics. Their work contributed to open a new path in mathematics, as new objects, similar to functions but not of their same nature, were being used systematically. Distributions are believed to have been first formally introduced by the Soviet mathematician Sergei Sobolev and by Laurent Schwartz. The aim of this project is to show how distribution theory can be used to obtain what we call fundamental solutions of partial differential equations.

Identificador

http://hdl.handle.net/10810/17993

61031-656172-09

20808-656172

Idioma(s)

eng

es

Direitos

Este trabajo está bajo Licencia Creative Commons Reconocimiento – NoComercial (by-nc)

info:eu-repo/semantics/openAccess

Palavras-Chave #distributions #distribuciones #distribuzioak
Tipo

info:eu-repo/semantics/bachelorThesis