Banca de QUALIFICAÇÃO: VICTOR RAFAEL SANTOS SILVA

Uma banca de QUALIFICAÇÃO de MESTRADO foi cadastrada pelo programa.
STUDENT : VICTOR RAFAEL SANTOS SILVA
DATE: 08/11/2022
TIME: 09:00
LOCAL: Sala de Reuniões do Departamento de Matemática da UFRN
TITLE:

Sobre a Teoria de Regularidade Elíptica via Análise da Equação de Helmholtz em RN

KEY WORDS:

Elliptic Partial Differential Equations; Helmholtz Equation; Variational Methods; Modified Bessel Functions; Agmon-Douglis-Nirenberg Theorem.

PAGES: 144
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In this work we demonstrate an important regularity result for the Helmholtz problem in unbounded domains and, furthermore, we show that this result can be used to regularize even weak solutions of semi-linear elliptic problems in RN. To achieve our goals, it will be of vital importance the use of Bessel’s Modified Function Theory, Calderón-Zygmund Theory, the Mountain Pass Theorem and Schauder’s Theorem, as well as basic results of Measure and Integration, Complex Analysis, Functional Analysis and the Theory of Sobolev Spaces.

COMMITTEE MEMBERS:
Externo ao Programa - 1332434 - AILTON RODRIGUES DA SILVA - nullInterno - 3061368 - DIEGO FERRAZ DE SOUZA
Externo ao Programa - 1137010 - ESTEBAN PEREIRA DA SILVA - nullExterno ao Programa - 3217414 - RONALDO CESAR DUARTE - null