# Regularity for Fully Nonlinear Parabolic Equations with Oblique Boundary Data

## TL;DR

This paper establishes boundary regularity results in parabolic Hölder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions, advancing understanding of solution smoothness near boundaries.

## Contribution

It provides new regularity results up to the boundary for fully nonlinear parabolic equations with oblique boundary data, a previously less understood area.

## Key findings

- Regularity results in parabolic Hölder spaces up to the boundary.
- Viscosity solutions exhibit improved smoothness near oblique boundaries.
- Advances boundary regularity theory for nonlinear parabolic PDEs.

## Abstract

We obtain up to a flat boundary regularity results in parabolic H\"{o}lder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions.