Estimates for the controls of the wave equation with a potential
2018 ◽
Vol 24
(1)
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pp. 289-309
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Keyword(s):
The One
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This article studies the L2-norm of the boundary controls for the one dimensional linear wave equation with a space variable potential a = a(x). It is known these controls depend on a and their norms may increase exponentially with ||a||L∞. Our aim is to make a deeper study of this dependence in correlation with the properties of the initial data. The main result of the paper shows that the minimal L2−norm controls are uniformly bounded with respect to the potential a, if the initial data have only sufficiently high eigenmodes.
2004 ◽
Vol 2
(4)
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pp. 358-364
2003 ◽
Vol 288
(1)
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pp. 78-96
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Keyword(s):
2019 ◽
Vol 21
(3)
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pp. 705-760
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Keyword(s):
1986 ◽
Vol 11
(13)
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pp. 1459-1487
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Keyword(s):
1993 ◽
Vol 22
(2)
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pp. 123-180
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Keyword(s):
2013 ◽
Vol 15
(06)
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pp. 1350026
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Keyword(s):