Exact Controllability to Trajectories for a Semilinear Heat Equation with a Superlinear Nonlinearity |
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| Authors: | Youjun Xu Zhenhai Liu |
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| Affiliation: | 1. School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan, 410075, People’s Republic of China
2. School of Mathematics and Physics, University of South China, Hengyang, Hunan, 421001, People’s Republic of China
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| Abstract: | In this paper, we consider exact controllability to trajectories for a semilinear heat equation with nonlinearity that has superlinear growth at infinity with Dirichlet boundary conditions in a bounded domain of ? N . The results are established by using the variational methods, the related duality theory and Kakutani Fixed-point Theorem and generalize the previous results. |
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