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Pointwise Controllability for Degenerate Parabolic Equations by the Moment Method

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In this paper, we study the pointwise controllability of the one-dimensional degenerate heat equation. Necessary and sufficient conditions for approximate and null controllability are proved. Our approach is mainly based… Click to show full abstract

In this paper, we study the pointwise controllability of the one-dimensional degenerate heat equation. Necessary and sufficient conditions for approximate and null controllability are proved. Our approach is mainly based on the moment method developed by Fattorini and Russell.

Keywords: moment method; pointwise controllability; controllability degenerate; controllability

Journal Title: Journal of Dynamical and Control Systems
Year Published: 2020

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