On the non-uniform null controllability of a linear KdV equation
نویسندگان
چکیده
In this paper we consider a linear KdV equation with a transport term posed on a finite interval with the boundary conditions considered by Colin and Ghidaglia. The main results concern the behavior of the cost of null controllability with respect to the dispersion coefficient when the control acts on the left endpoint. In particular, for any final time we prove that this cost grows exponentially as the dispersion coefficient vanishes and the transport coefficient is negative. AMS Subject Classification: 35B25, 93B05, 93C20
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ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 94 شماره
صفحات -
تاریخ انتشار 2015