Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417016 | Journal of Differential Equations | 2016 | 36 Pages |
Abstract
In this paper, we study the cost of null controllability of a fourth-order parabolic equation. When the control time is large enough, we prove that this cost decreases exponentially to zero as the diffusion coefficient of the equation vanishes. When the control time is small, on the contrary, we prove that this cost increases exponentially to infinity.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nicolás Carreño, Patricio Guzmán,