| 带梯度障碍的抛物型变分不等式解的存在性唯一性和正则性 |
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| 引用本文： | 李胜宏,王学锋.带梯度障碍的抛物型变分不等式解的存在性唯一性和正则性[J].高校应用数学学报(A辑),1998,13(3):275-280. |
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| 作者姓名： | 李胜宏 王学锋 |
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| 作者单位： | [1]浙江大学应用数学系 [2]华东师范大学数学系 |
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| 摘 要： | 本文讨论带梯度障碍的抛物型变分不等式解的存在性、唯一性和正则性问题．通过证明一类带梯度障碍的问题的求解等价于解某个双边障碍的问题，并利用双边障碍问题解的存在性、唯一性和正则性，得到了带梯度障碍的问题的相应结果．这一方法将有助于对具有梯度约束的非线性以及完全非线性抛物型方程解的正则性的研究．
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| 关 键 词： | 双边障碍 变分不等式 梯度约束 |
EXISTENCE UNIQUENESS AND REGULARITY OF SOLUTIONS FOR PARABOLIC VARIATIONAL INEQUALITIES WITH GRADIENT CONSTRAINT |
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| Li Shenghong.EXISTENCE UNIQUENESS AND REGULARITY OF SOLUTIONS FOR PARABOLIC VARIATIONAL INEQUALITIES WITH GRADIENT CONSTRAINT[J].Applied Mathematics A Journal of Chinese Universities,1998,13(3):275-280. |
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| Authors: | Li Shenghong |
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| Abstract: | The existence, uniqueness and regularity of solutions for parabolic variational inequalities with gradient constraint are studied. The existence and regularity results on solutions for double obstacle problem are obtained by showing the equivalence of the double obstacle problem and the parabolic variational inequalities with gradient constraint. And the existence of the solutions to quasilinear parabolic variational inequalities with gradient constraint is proved. |
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| Keywords: | Double Obstacle Variational Inequality Gradient Constraint |
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