### Null controllability of degenerate heat equations

#### Abstract

We prove null controllability results for the degenerate one-dimensional heat equation $$u_t - (x^\alpha u_x)_x = f \chi _\omega , \quad x\in (0,1), \ \ t\in (0,T) .$$ As a consequence, we obtain null controllability results for a Crocco-type equation that describes the velocity field of a laminar flow on a flat plate.

#### Article information

Source
Adv. Differential Equations Volume 10, Number 2 (2005), 153-190.

Dates
First available in Project Euclid: 18 December 2012

Mathematical Reviews number (MathSciNet)
MR2106129

Zentralblatt MATH identifier
1145.35408

#### Citation

Cannarsa, P.; Martinez, P.; Vancostenoble, J. Null controllability of degenerate heat equations. Adv. Differential Equations 10 (2005), no. 2, 153--190.https://projecteuclid.org/euclid.ade/1355867887