| 某类高阶非线性偏微分方程组弱解的正则性 |
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| 引用本文： | 简怀玉.某类高阶非线性偏微分方程组弱解的正则性[J].湖南大学学报(自然科学版),1990,17(3):106-112. |
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| 作者姓名： | 简怀玉 |
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| 作者单位： | 湖南大学应用数学系 本校88届硕士毕业生,现在怀化师专工作 |
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| 摘 要： | 本文研究一类2k阶非线性偏微分方程组之解的正则性,没有假定通常的椭圆性条件而只假定所谓"无穷远处"的椭圆性条件,证明了解的k-1阶导数为李普希兹连续的.
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| 关 键 词： | 非线性 偏微分方程组 弱解 正则性 |
On Regularity of Weak Solutions of Certain Nonlinear Partial Differential Systems of 2kth Order |
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| Jian Huaiyu.On Regularity of Weak Solutions of Certain Nonlinear Partial Differential Systems of 2kth Order[J].Journal of Hunan University(Naturnal Science),1990,17(3):106-112. |
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| Authors: | Jian Huaiyu |
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| Institution: | Jian Huaiyu Department of Applied Mathematics |
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| Abstract: | In this paper we prove that if u is a weak solution of some kind of nonlinear partial differential systems of 2kth order which satisfies the usual ellipticity condition only at infinity, then u has (k-1)th lipschitz continuous derivatives. |
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| Keywords: | Sobolev space nonlinear partial differential equation system regularity/ellipticity conditions blow up technique |
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