| 可测系数的非线性抛物型方程组的边值问题 |
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| 引用本文： | 黄沙 闻国椿. 可测系数的非线性抛物型方程组的边值问题[J]. 河北师范大学学报(自然科学版), 1997, 21(2): 117-120 |
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| 作者姓名： | 黄沙 闻国椿 |
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| 作者单位： | 河北师范大学数学系，北京大学数学系 |
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| 摘 要： | 讨论可测系数的二阶非线性抛物型方程组的Ｄｉｒｉｃｈｌｅｔ边值问题和Ｎｅｕｍａｎｎ边值问题．首先给出解的先验估计，然后用这个估计和Ｓｃｈａｕｄｅｒ不动点定理，证明了解的存在性
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| 关 键 词： | 抛物型方程组；边值问题；先验估计 |
Boundary Value Problems for Nonlinear Parabolic Systems with Measurable Coefficients |
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| Huang Sha ) Qiao Yuying ) Wen Guochun ). Boundary Value Problems for Nonlinear Parabolic Systems with Measurable Coefficients[J]. Journal of Hebei Normal University, 1997, 21(2): 117-120 |
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| Authors: | Huang Sha ) Qiao Yuying ) Wen Guochun ) |
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| Affiliation: | Huang Sha 1) Qiao Yuying 1) Wen Guochun 2) |
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| Abstract: | Deals with the Dirichlet problem and Neumann problem for nonlinear parabolic systems of second order equations with measurable coefficients.First we give a priori estimates of the solutions and then by using the estimates of the solutions and the Schauder fixed point theorem,the existence of solutions for above boundary value problems are proved. |
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| Keywords: | parabolic equations boundary value problem priori estimates |
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