On the wellposedness of the exp-Rabelo equation

TL;DR

This paper investigates the mathematical conditions under which solutions to the exp-Rabelo equation, modeling pseudo-spherical surfaces, exist uniquely and depend continuously on initial data.

Contribution

It establishes the well-posedness of bounded solutions for the initial value problem of the exp-Rabelo equation.

Findings

Proves existence of solutions under certain conditions

Demonstrates uniqueness of solutions

Shows continuous dependence on initial data

Abstract

The exp-Rabelo equation describes pseudo-spherical surfaces. It is a nonlinear evolution equation. In this paper the wellposedness of bounded from above solutions for the initial value problem associated to this equation is studied.