| THE DECAY BEHAVIOR OF SOLUTIONS FOR NONLOCAL BOUNDARY PROBLEMS |
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| 作者姓名： | 王远弟 |
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| 作者单位： | Dept. of Math.，Shanghai University，Shanghai 200436 |
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| 摘 要： | A parabolic equation defined on a bounded domain with boundary condition being nonlocal is considered. The existence and the dynamic behavior of the solutions for linear and semilinear equations are investigated in special spaces. One will find that the behavior of the solutions are affected by the boundary conditions. A semigroup approach is employed in this paper.
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THE DECAY BEHAVIOR OF SOLUTIONS FOR NONLOCAL BOUNDARY PROBLEMS |
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| Wang Yuandi.THE DECAY BEHAVIOR OF SOLUTIONS FOR NONLOCAL BOUNDARY PROBLEMS[J].微分方程年刊(英文版),2002(3). |
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| Authors: | Wang Yuandi |
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| Abstract: | A parabolic equation defined on a bounded domain with boundary condition being nonlocal is considered. The existence and the dynamic behavior of the solutions for linear and semilinear equations are investigated in special spaces. One will find that the behavior of the solutions are affected by the boundary conditions. A semigroup approach is employed in this paper. |
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| Keywords: | existence nonlocal parabolic equation semigroup dynamic behavior |
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