Controllability results for weakly blowing up reaction-diffusion system | Zendy

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Controllability results for weakly blowing up reaction-diffusion system

Author(s) -

Qiang Tao,

Hang Gao,

Ying Yang

Publication year - 2012

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2012.1.11

Subject(s) - controllability , mathematics , reaction–diffusion system , blowing up , diffusion , mathematical analysis , thermodynamics , physics

In this paper, we consider the controllability of a general reaction-diffusion system with homogeneous Dirichlet boundary conditions. We prove the exact controllability to the trajectories and the approximate controllability of the system which contains certain superlinear nonlinearities. The Kakutani fixed point theorem, global Carleman estimates, and the regularity argument of the parabolic system are used.

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