# Improved global well-posedness for defocusing sixth-order Boussinesq   equations

**Authors:** Dan-Andrei Geba, Evan Witz

arXiv: 1907.03151 · 2019-07-09

## TL;DR

This paper establishes improved conditions for the global well-posedness of defocusing sixth-order Boussinesq equations, extending previous results to more general nonlinearities.

## Contribution

It extends prior work by Wang and Esfahani to broader nonlinear terms, enhancing understanding of the equations' well-posedness.

## Key findings

- Global well-posedness established for broader nonlinearities
- Extension of previous results to more general sixth-order Boussinesq equations
- Enhanced theoretical framework for analyzing these equations

## Abstract

This article studies the global well-posedness for a class of defocusing, generalized sixth-order Boussinesq equations, extending a previous result obtained by Wang and Esfahani for the case when the nonlinear term is cubic.

## Full text

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## References

21 references — full list in the complete paper: https://tomesphere.com/paper/1907.03151/full.md

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Source: https://tomesphere.com/paper/1907.03151