Equações de evolução abstratas com termos não lineares Lq,Î±-Hölder

Leão, Lucas Lisboa

doi:10.11606/D.59.2023.tde-28032023-075918

Home

Facilities

Master's Dissertation

DOI

https://doi.org/10.11606/D.59.2023.tde-28032023-075918

Document

Master's Dissertation

Author

Leão, Lucas Lisboa (Catálogo USP)

Full name

Lucas Lisboa Leão

E-mail

Institute/School/College

Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto

Knowledge Area

Pure Mathematic

Date of Defense

2023-02-27

Published

Ribeirão Preto, 2023

Supervisor

Morales, Eduardo Alex Hernandez (Catálogo USP)

Committee

Morales, Eduardo Alex Hernandez (President)
Cubillos, Rodrigo Eduardo Ponce
Gadotti, Marta Cilene

Title in Portuguese

Equações de evolução abstratas com termos não lineares L^q^,^α-Hölder

Keywords in Portuguese

Equações diferenciais abstratas
Funções L^q^,^α-Hölder
Semigrupos de operadores lineares limitados

Abstract in Portuguese

Apresentamos um estudo sobre resultados clássicos da teoria de equações diferencias abstratas, introduzimos as funções L^q^,^α-Hölder junto com alguns exemplos e generalizamos alguns resultados já conhecidos a respeito de existência, unicidade e regularidade de soluções para o problema abstrato semilinear de evolução.

Title in English

Abstract evolution equations with L^q^,^α-Hölder nonlinear terms

Keywords in English

Abstract differential equations
L^q^,^α-Hölder function
Semigroups of bounded linear operators

Abstract in English

We present a study of classical results about abstract differential equations, introduce the L^q^,^α-Hölder functions including several examples and generalize some well-known existence, uniqueness, and regularity results for the evolution abstract semilinear problem.

WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.

LucasLisboaLeao_corrigida.pdf (665.52 Kbytes)

Publishing Date

2023-04-18

Derived works

WARNING: Learn what derived works are clicking here.