| Global stable and unstable manifolds for a class of semilinear equations with sectorially dichotomous operator |
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| 作者姓名： | Lianwang Deng Dongmei Xiao |
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| 作者单位： | School of Mathematical Sciences, Shanghai Jiao Tong University, Dongchuan RD, Shanghai, 200240, China,School of Mathematical Sciences, Shanghai Jiao Tong University, Dongchuan RD, Shanghai, 200240, China |
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| 摘 要： |
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| 收稿时间： | 2018/12/31 0:00:00 |
| 修稿时间： | 2018/12/31 0:00:00 |
Global stable and unstable manifolds for a class of semilinear equations with sectorially dichotomous operator |
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| Lianwang Deng,Dongmei Xiao.Global stable and unstable manifolds for a class of semilinear equations with sectorially dichotomous operator[J].Journal of Applied Analysis & Computation,2019,9(1):373-399. |
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| Authors: | Lianwang Deng and Dongmei Xiao |
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| Institution: | School of Mathematical Sciences, Shanghai Jiao Tong University, Dongchuan RD, Shanghai, 200240, China and School of Mathematical Sciences, Shanghai Jiao Tong University, Dongchuan RD, Shanghai, 200240, China |
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| Abstract: | In this paper, the existence and smoothness of global stable and unstable manifolds at an equilibrium are established for a class of semilinear equations with sectorially dichotomous operator. As an application, an elliptic PDE in infinite cylindrical domain is discussed. |
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| Keywords: | Semilinear equations sectorially dichotomous operator dichotomous solution stable and unstable manifolds |
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