Boundary controllability for a degenerate wave equation in non divergence form with drift

TL;DR

This paper investigates the boundary controllability of a degenerate wave equation with drift, where the leading operator is not in divergence form, providing conditions for controllability in such complex systems.

Contribution

It introduces new controllability conditions for a degenerate wave equation with non-divergence form and drift, expanding understanding of control in non-standard PDEs.

Findings

Established boundary controllability conditions for the degenerate wave equation

Identified key properties of the non-divergence form operator

Extended controllability theory to equations with drift and degeneracy

Abstract

We consider a degenerate wave equation with drift in presence of a leading operator which is not in divergence form. We provide some conditions for the boundary controllability of the associated Cauchy problem.