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In this paper, we study one‐dimensional linear degenerate wave equations with a distributed controller. We establish observability inequalities for degenerate wave equation by multiplier method. We also deduce the exact… Click to show full abstract
In this paper, we study one‐dimensional linear degenerate wave equations with a distributed controller. We establish observability inequalities for degenerate wave equation by multiplier method. We also deduce the exact controllability for degenerate wave equation by Hilbert uniqueness method when the control acts on the nondegenerate boundary. Moreover, an explicit expression for the controllability time is given.
Keywords:
degenerate;
controllability degenerate;
wave equations;
exact controllability;
degenerate wave
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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recommendations!