半线性Benjamin-Bona-Mahony方程的可控性

Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI:10.7862/RF.2012.4

H. Leiva, N. Merentes, J. Sánchez

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引用次数: 5

摘要

本文证明了具有齐次Dirichlet边界条件zt a zt b z = 1!u(t;x) +f(t;z;u(t;x))的广义半线性Benjamin-Bona-Mahony型方程(BBM)的内部近似控制稳定性;T2 (0;);x2;Z (t;x) = 0;t 0;X2 @;其中a 0和b > 0是常数，是IR N中的定义域，!是开放的

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Controllability of the semilinear Benjamin-Bona-Mahony equation

In this paper we prove the interior approximate control- lability of the following Generalized Semilinear Benjamin-Bona-Mahony type equation (BBM) with homogeneous Dirichlet boundary conditions zt a zt b z = 1!u(t;x) +f(t;z;u(t;x)); t2 (0; ); x2 ; z(t;x) = 0; t 0; x2 @ ; where a 0 and b > 0 are constants, is a domain in IR N , ! is an open

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Journal of Mathematics and Applications

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