The cost of approximate controllability for semilinear heat equations
Yuqing YAN
Yi ZHAO
Yu HUANG
摘要：We consider the semilinear heat equation with globally Lipschitz non-linearity involving gradient terms in a bounded domain of Rn.In this paper,we obtain explicit bounds of the cost of approximate controllability,i.e.,of the minimal norm of a control needed to control the system approximately.The methods we used combine global Carleman estimates,the variational approach to approximate controllability and Schauder's fixed point theorem.
机标关键词：heat equationsapproximate controllabilitysemilinear heat equationvariational approachbounded domainfixed pointLipschitzSchauder
资助基金：the Natural Science Foundation of China(10371136)the Natural Science Foundation of China(10771222)
论文发表日期：2009-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：4( 73-76 )
英文信息