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Local Exact Controllability to the Trajectories of Burgers–Fisher Equation

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  • Xiaofeng Shi

Abstract

This paper is addressed to study local exact controllability to the trajectories of the Burgers–Fisher (BF) equation. By using the global Carleman estimate for the second-order parabolic operator, we establish the observable inequality and obtain the exact controllability to the trajectories of the linear system. Then, by local inverse theory, we consider the controllability result for the Burgers–Fisher equation.

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  • Xiaofeng Shi, 2020. "Local Exact Controllability to the Trajectories of Burgers–Fisher Equation," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-15, July.
    • Handle: RePEc:hin:jnlmpe:4085354
    DOI: 10.1155/2020/4085354
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