Control properties for heat equation with double singular potential

TL;DR

This paper investigates the controllability issues of the heat equation when it involves a double singular potential, focusing on the challenges posed by singularities at interior points and boundaries.

Contribution

It provides new insights into the noncontrollability of heat equations with complex singular potentials at specific domain locations.

Findings

Demonstrates noncontrollability under certain singular potential conditions

Identifies key obstacles to control in the presence of double singularities

Highlights limitations of existing control strategies for singular heat equations

Abstract

The aim of this article is to study the noncontrollability of the heat equation with double singular potential at an interior point and on the boundary of the domain.