| THE NONLOCAL INITIAL PROBLEMS OF A SEMILINEAR EVOLUTION EQUATION |
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| 作者姓名： | 王远弟 冉启康 |
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| 作者单位： | Dept. of Math. Shanghai University，Shanghai 200436，Dept. of Math. Shanghai University of Finance and Economics，Shanghai 200433 |
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| 基金项目： | ThisworkissupportedbyGrantNo.02AK45
theSpecialFundsforMajorSpecialitiesofShanghaiEducationCommittee. |
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| 摘 要： | The purpose of this paper is to investigate the existence of solutions to a nonlocal Cauchy problem for an evolution equation. The methods used here include the semigroup methods in proper spaces and Schauder's theorem. And the results are applied to a system of nonlinear partial differential equations with nonlinear boundary conditions.
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| 关 键 词： | 全局问题 半线性方程 存在性 不动点 偏微分 巴拿赫空间 |
THE NONLOCAL INITIAL PROBLEMS OF A SEMILINEAR EVOLUTION EQUATION |
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| Wang Yuandi.THE NONLOCAL INITIAL PROBLEMS OF A SEMILINEAR EVOLUTION EQUATION[J].微分方程年刊(英文版),2004,20(4):413-422. |
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| Authors: | Wang Yuandi |
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| Institution: | [1]Dept.ofMath.,ShanghaiUniversity,Shanghai200436 [2]Dept.ofMath.,ShanghaiUniversityofFinanceandEconomics,Shanghai200433 |
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| Abstract: | The purpose of this paper is to investigate the existence of solutions to a nonlocal Cauchy problem for an evolution equation. The methods used here include the semigroup methods in proper spaces and Schauder's theorem. And the results are applied to a system of nonlinear partial differential equations with nonlinear boundary conditions. |
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| Keywords: | nonlocal problem semilinear equation existence Schauder fixed point |
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