On parabolic equations with critical electromagnetic potentials

TL;DR

This paper studies a class of parabolic equations with critical electromagnetic potentials, providing a classification of local asymptotics, unique continuation results, and an integral representation formula for solutions.

Contribution

It introduces a comprehensive analysis of parabolic equations with critical electromagnetic potentials, including new classification and representation methods.

Findings

Classification of local asymptotics

Unique continuation results established

Integral representation formula derived

Abstract

We consider a class of parabolic equations with critical electromagnetic potentials, for which we obtain a classification of local asymptotics, unique continuation results, and an integral representation formula for solutions.