Null-Control and Measurable Sets

TL;DR

This paper demonstrates that certain parabolic equations can be controlled within their interior and boundary regions using controls applied over measurable sets, advancing control theory for PDEs.

Contribution

It establishes null-controllability results for parabolic evolutions with controls on measurable sets, a novel extension in control theory.

Findings

Interior null-controllability achieved for specific parabolic equations.

Boundary null-controllability established with controls on measurable sets.

Advances understanding of control mechanisms over irregular control regions.

Abstract

We prove the interior and boundary null-controllability of some parabolic evolutions with controls acting over measurable sets.