Author:
Xu Fengdan,Zhou Qian,Nie Yuanyuan
Abstract
AbstractThis paper concerns the null controllability of a semilinear control system governed by degenerate parabolic equation with a gradient term, where the nonlinearity of the problem is involved with the first derivative. We first establish the well-posedness and prove the approximate null controllability of the linearized system, then we can get the approximate null controllability of the semilinear control system by a fixed point argument. Finally, the semilinear control system with a gradient term is shown to be null controllable.
Funder
National Natural Science Foundation of China
National Nature Science Foundation of China
Science and Technology Development Project of Jilin Province
Scientific and Technological Project of Jilin Provinces's Education Department in Thirteenth-five-Year
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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