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2005 Null controllability of degenerate heat equations
P. Cannarsa, P. Martinez, J. Vancostenoble
Adv. Differential Equations 10(2): 153-190 (2005).

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.

Citation

Download Citation

P. Cannarsa. P. Martinez. J. Vancostenoble. "Null controllability of degenerate heat equations." Adv. Differential Equations 10 (2) 153 - 190, 2005.

Information

Published: 2005
First available in Project Euclid: 18 December 2012

zbMATH: 1145.35408
MathSciNet: MR2106129

Subjects:
Primary: 93B05
Secondary: 35K65, 93C20

Rights: Copyright © 2005 Khayyam Publishing, Inc.

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