Advances in Differential Equations

Null controllability of degenerate heat equations

P. Cannarsa, P. Martinez, and J. Vancostenoble

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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

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

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 93B05: Controllability
Secondary: 35K65: Degenerate parabolic equations 93C20: Systems governed by partial differential equations


Cannarsa, P.; Martinez, P.; Vancostenoble, J. Null controllability of degenerate heat equations. Adv. Differential Equations 10 (2005), no. 2, 153--190.

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