# Regularity of solutions to a fractional elliptic problem with mixed Dirichlet-Neumann boundary data

## TL;DR

This paper investigates the regularity of solutions to fractional elliptic problems involving the Spectral Fractional Laplacian with mixed boundary conditions, providing insights into their smoothness and boundary behavior.

## Contribution

It offers new regularity results for solutions to fractional elliptic problems with mixed Dirichlet-Neumann boundary data using spectral methods.

## Key findings

- Established regularity properties of solutions.
- Analyzed boundary behavior of solutions.
- Extended understanding of fractional elliptic problems.

## Abstract

In this work we study regularity properties of solutions to fractional elliptic problems with mixed Dirichlet-Neumann boundary data when dealing with the Spectral Fractional Laplacian.