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Effect Of Diffusion For The Cost Of Controllability Of Parabolic Equation

Posted on:2007-09-04Degree:MasterType:Thesis
Country:ChinaCandidate:D MengFull Text:PDF
GTID:2120360182498441Subject:Operational Research and Cybernetics
Abstract/Summary:PDF Full Text Request
We are concerned with estimates of the cost of controllability of parabolic equations in divergence form. Especially, the explicit bound of the cost with respect to the diffusive coefficient a(x, t) and the time T is analyzed. The methods of proof combines global Carleman inequality, energy estimates for parabolic equations and the variational approach to controllability, which is from the spirit of [6].
Keywords/Search Tags:Approximate controllability, Null controllability, cost of the controllability, Carleman inequality, observability inequality
PDF Full Text Request
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