Explicit observability estimate for the wave equation with potential and its application
Xueqing Zhang
Abstract
Xueqing Zhang
Abstract
By means of the Carleman-type estimate, we obtain an explicit observability estimate for the wave equation with a potential. As its application, we get the exact internal controllability of the semilinear wave equations in any space dimensions.
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By means of the Carleman-type estimate, we obtain an explicit observability estimate for the wave equation with a potential. As its application, we get the exact internal controllability of the semilinear wave equations in any space dimensions.
Key concepts: Observability, Controllability, Wave equation, Mathematics, Mathematical analysis, Space (punctuation), Damped wave, Applied mathematics