Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations

TL;DR

This paper studies the uniqueness of solutions to fractional parabolic and elliptic equations within weighted Lebesgue spaces, providing conditions under which solutions are uniquely determined.

Contribution

It introduces new criteria for uniqueness in weighted Lebesgue spaces for a class of fractional PDEs, extending existing theories.

Findings

Established uniqueness conditions for fractional PDE solutions

Extended classical results to weighted Lebesgue spaces

Provided a framework applicable to fractional parabolic and elliptic equations

Abstract

We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic equations.