# On the radius of spatial analyticity for the quartic generalized KdV equation

## TL;DR

This paper establishes a lower bound on how quickly the spatial analyticity radius of solutions to the quartic generalized KdV equation can decrease over time, improving previous results in the field.

## Contribution

It provides a sharper lower bound on the decay rate of the spatial analyticity radius for solutions to the quartic gKdV equation, advancing understanding of solution regularity.

## Key findings

- Derived a new lower bound on the decay rate of spatial analyticity radius.
- Improved upon earlier results by Bona, Grujić, and Kalisch.
- Enhanced understanding of solution regularity for quartic gKdV.

## Abstract

Lower bound on the rate of decrease in time of the uniform radius of spatial analyticity of solutions to the quartic generalized KdV equation is derived, which improves an earlier result by Bona, Gruji\'c and Kalisch.