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Exact controllability of nonlinear diffusion equations arising in reactor dynamics. (English) Zbl 1156.93321
Summary: This paper studies the problems of local exact controllability of nonlinear and global exact null controllability of linear parabolic integro-differential equations, respectively, with mixed and Neumann boundary data with distributed controls acting on a subdomain ω of Ω n . The proof of the linear problem relies on a Carleman-type estimate and observability inequality for the adjoint equations and that the nonlinear one, on the fixed point technique.
MSC:
93B05Controllability
93C20Control systems governed by PDE
45K05Integro-partial differential equations
35K50Systems of parabolic equations, boundary value problems (MSC2000)