2007•PAMMOpen access

Null controllability of degenerate parabolic equations

Patrick Martínez, P Cannarsa, Judith Vancostenoble

Abstract

Abstract Motivated by a boundary layer problem, we are interested in the controllability properties of parabolic equations degenerating at the boundary of the space domain. We derive new Carleman estimates for a class of degenerate parabolic equation; the proof is based in particular on Hardytype inequalities. Then we deduce observability and null controllability results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Open-access reader

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Controllability, Observability, Degenerate energy levels, Parabolic partial differential equation, Mathematics, Null (SQL), Domain (mathematical analysis), Boundary (topology)