Null controllability of degenerate parabolic cascade systems (original) (raw)

Portugaliae Mathematica, 2011

Abstract

ABSTRACT In this paper, we study the null controllability of degenerate semilinear cas-cade parabolic systems with one control force. The key tool is the Carleman estimates developed recently for degenerate one dimension parabolic equations. We develop a Carle-man estimate for these systems and then an observability inequality for the linear adjoint system. We conclude by linearization and fixed point arguments. Portugaliae Mathemat-ica.

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