Banca de DEFESA: VICTOR RAFAEL SANTOS SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : VICTOR RAFAEL SANTOS SILVA
DATE: 22/12/2022
TIME: 14:30
LOCAL: Sala de Reuniões do Departamento de Matemática da UFRN
TITLE:

Elliptic Regularity via Analysis of the Helmholtz Equation in RN

KEY WORDS:

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

PAGES: 148
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In this work we present an important regularity result for the Helmholtz Equation in unbounded domains due to C. A. Stuart and, furthermore, we show that this result can also be used to regularize weak solutions of nonlinear elliptic problems in RN. In order 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:
Presidente - 3061368 - DIEGO FERRAZ DE SOUZA
Externo à Instituição - JOSÉ CARLOS DE ALBUQUERQUE MELO JÚNIOR - UFPE
Interno - 1169246 - RONALDO FREIRE DE LIMA