| 拟抛物方程初边值问题的整体解与渐近性态 |
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| 引用本文： | 高策理. 拟抛物方程初边值问题的整体解与渐近性态[J]. 清华大学学报(自然科学版), 1997, 0(6) |
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| 作者姓名： | 高策理 |
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| 作者单位： | 清华大学应用数学系 |
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| 摘 要： | 用耗散算子半群的理论证明了一类拟抛物方程的初边值问题整体解的存在唯一性；在证明了半群构成梯度系统后，得到了全局吸引子的存在性
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| 关 键 词： | 拟抛物；半群；梯度系统；吸引子 |
Global existence and asymptotic behavior for nonlinear pseudoparabolic equations |
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| Gao Celi. Global existence and asymptotic behavior for nonlinear pseudoparabolic equations[J]. Journal of Tsinghua University(Science and Technology), 1997, 0(6) |
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| Authors: | Gao Celi |
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| Affiliation: | Gao Celi Department of Applied Mathematics,Tsinghua University,Beijing 100084 |
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| Abstract: | By using the semigroup theory of dissipative operators and iterative technique, the global existence of solution is obtained. After proving the semigroup is gradient system, the existence of global attractor is also obtained. |
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| Keywords: | pseudoparabolic semigroup gradient system attractor |
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