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Controllability for a wave equation with moving boundary
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نویسنده
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cui l. ,song l.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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We investigate the controllability for a one-dimensional wave equation in domains with moving boundary. this model characterizes small vibrations of a stretched elastic string when one of the two endpoints varies. when the speed of the moving endpoint is less than 1 - 1 / e,by hilbert uniqueness method,sidewise energy estimates method,and multiplier method,we get partial dirichlet boundary controllability. moreover,we will give a sharper estimate on controllability time that only depends on the speed of the moving endpoint. © 2014 lizhi cui and libo song.
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آدرس
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college of applied mathematics,jilin university of finance and economics,changchun 130117,china,school of mathematics and statistics,northeast normal university, China, educational administration,jilin university of finance and economics, China
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Authors
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