| 具有双障碍的退缩抛物变分不等式解的存在性和唯一性(英) |
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| 引用本文： | 李胜宏.具有双障碍的退缩抛物变分不等式解的存在性和唯一性(英)[J].应用数学,1998(2). |
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| 作者姓名： | 李胜宏 |
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| 作者单位： | 浙江大学数学所!杭州，1200062 |
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| 摘 要： | 本文研究具有双障碍的退缩抛物变分不等式．我们利用罚技巧，有限逼近和先验估计方法，得到一类退缩抛物变分不等式弱解的存在性，并在一定条件之下，建立了弱解的唯一性．本文结论对广泛的一类抛物型变分不等式成立．
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| 关 键 词： | 变分子不等式 双障碍问题 退缩抛物型方程 |
Existence and Uniqueness of the Solution for Certain Degenerate Parabolic Variational Inequalities with Double Obstacles |
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| Li Shenghong.Existence and Uniqueness of the Solution for Certain Degenerate Parabolic Variational Inequalities with Double Obstacles[J].Mathematica Applicata,1998(2). |
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| Authors: | Li Shenghong |
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| Abstract: | In this paper, we prove the existence of the weak solution to a class of degenerate parabolic variational inequalitics with double obstacles by means of penalty technique, finite approximate, regular approximate and a priori estimate method. The uniqueness of the weak solution is established under appropriate hypotheses. |
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| Keywords: | Variational inequality Double obstacles Degenerate parabolic equation |
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