학술논문
The cost of approximate controllability of heat equation with dynamical boundary conditions
Document Type
Working Paper
Author
Source
Portugaliae Mathematica 78 (2021), 65-99
Subject
Language
Abstract
We consider the heat equation with dynamic bounary conditions involving gradient terms in a bounded domain. In this paper we study the cost of approximate controllability for this equation. Combining new developed Carleman estimates and some optimization techniques, we obtain explicit bounds of the minimal norm control. We consider the linear and the semilinear cases.