| 非一致抛物型方程的混合边值问题 |
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| 引用本文： | 马昌秀,王迪吉. 非一致抛物型方程的混合边值问题[J]. 新疆师范大学学报(自然科学版), 2003, 22(1): 4-8 |
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| 作者姓名： | 马昌秀 王迪吉 |
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| 作者单位： | 新疆师范大学数理信息学院,乌鲁木齐,830054 |
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| 摘 要： | 本讨论非一致二阶抛物型方程初始边值问题的弱解存在性。其方程中ut的系数b(t,x)非负，椭圆型中的数矩阵（aij(t,x)）是半正定的。若b(t,x)≡0则此问题简化为退化的椭圆型。此外，中还讨论了抛物型中退化椭圆边值问题的弱解存在性。
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| 关 键 词： | 非一致抛物型方程 混合边值问题 弱解 初始边值问题 存在性 椭圆型 |
| 文章编号： | 1008-9659-(2003)-01-0004-05 |
| 修稿时间： | 2002-05-08 |
The mixed boundary value problem of non-uniform parabolic equation |
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| Ma Changxiu Wang Diji. The mixed boundary value problem of non-uniform parabolic equation[J]. Journal of Xinjiang Normal University(Natural Sciences Edition), 2003, 22(1): 4-8 |
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| Authors: | Ma Changxiu Wang Diji |
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| Abstract: | In this paper,the weak solution existness of initial boundary value problem for a non-uniform second order parabolic equation is discussed.where b(t,x)is non-negative and numerical matrix(a ij(t,x))in the middle of elliptic type is half-positive definite.Suppose that b(t,x)equals a zero,the problem of parabolic type will be simplified into an degenerate elliptical type.Moreover,this article also discusses the weak solution existness of boundary value problem,when parabolic type degenerates into elliptic type.; |
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| Keywords: | weak solution boundary value problem non-uniform parabolic type uniform type existness problem. |
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