A Unicidade da onda solitária para a equação de Benjamin-Ono

Abstract

This work is divided into two chapters and an appendix. In the first chapter we will essentially study the Principle of the Maximum for unlimited domains. We will demonstrate some important results that will be used later in the development of the main problem theory. In Chapter 2, where the most significant results will be demonstrated, we will define and study a special function G defined in the upper half-plane H whose theory will support the demonstration of the subsequent results. In the appendix will be exposed some classic results that will be used throughout this work.