摘要
The paper deals with the controllability of a heat equation.It is well-known that the heat equation yt y = uχE in(0,T)×Ω with homogeneous Dirichlet boundary conditions is null controllable for any T > 0 and any open nonempty subset E of Ω.In this note,the author studies the case that E is an arbitrary measurable set with positive measure.
The paper deals with the controllability of a heat equation. It is well-known that the heat equation yt - △y = uxE in （0, T） × Ω with homogeneous Dirichlet boundary conditions is null controllable for any T 〉 0 and any open nonempty subset E of Ω. In this note, the author studies the case that E is an arbitrary measurable set with positive measure.
基金
supported by the National Natural Science Foundation of China (No. 10671040)
the Foundation for the Author of National Excellent Doctoral Dissertation of China (No. 200522)
the Program for the New Century Excellent Talents in University of China (No. 06-0359)
