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| 摘要: |
| 本文研究了一类基于非线性抛物算子的变分不等式问题.利用惩罚方法获得了一些关于该变分不等式解的存在性和唯一性方面的结论.该结论是对变分不等式理论的推广. |
| 关键词: 变分不等式 退化抛物算子 存在性 唯一性 惩罚方法 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:山西省自然科学基金（2008011002-1）；山西省高等教育发展基金（20101109；20111020）. |
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| EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A CLASS OF NONLINEAR DEGENERATE PARABOLIC VARIATIONAL INEQUALITIES |
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LI Zhi-guang,KANG Shu-gui
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| Abstract: |
| In this paper, the variational inequalities based on degenerate parabolic operators are studied. By penalty method, the existence and uniqueness of the solutions are proved, which generalize the theories of variational inequalities. |
| Key words: variational inequality degeneate parabolic inequality existence uniqueness penalty method |
