
doi: 10.4171/pm/1895
In this paper, we study the null controllability of degenerate semilinear cascade parabolic systems with one control force. The key tool is the Carleman estimates developed recently for degenerate one dimension parabolic equations. We develop a Carleman estimate for these systems and then an observability inequality for the linear adjoint system. We conclude by linearization and fixed point arguments.
Controllability, Control/observation systems governed by partial differential equations, Initial-boundary value problems for second-order parabolic equations, degenerate parabolic equations, Degenerate parabolic equations, Carleman estimates, semigroups, observability inequality, cascade, null controllability
Controllability, Control/observation systems governed by partial differential equations, Initial-boundary value problems for second-order parabolic equations, degenerate parabolic equations, Degenerate parabolic equations, Carleman estimates, semigroups, observability inequality, cascade, null controllability
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