| 二阶拟线性抛物型方程具等值面边界条件的初边值问题 |
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| 引用本文： | 李风泉.二阶拟线性抛物型方程具等值面边界条件的初边值问题[J].聊城大学学报(自然科学版),1998(4). |
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| 作者姓名： | 李风泉 |
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| 作者单位： | 曲阜师范大学数学系 |
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| 摘 要： | 利用一组特殊基，应用Ｇａｌｅｒｋｉｎ方法讨论了二阶拟线性抛物型方程具等值面边界条件的初边值问题弱解的存在与唯一性．并推广了相应的结果．
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| 关 键 词： | 等值面边界条件，拟线性 抛物型方程，存在唯一性 |
On Initial boundary Value Problems of Second Order Quasilinear Parabolic Equations with Equivalued Surface Boundary Conditions |
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| Li Fengquan.On Initial boundary Value Problems of Second Order Quasilinear Parabolic Equations with Equivalued Surface Boundary Conditions[J].Journal of Liaocheng University:Natural Science Edition,1998(4). |
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| Authors: | Li Fengquan |
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| Abstract: | Using a special base and the Galerkin method,we discuss the existence and uniqueness of weak solution for the initial-boundary value problems of second order quasilinear parabolic equations with equivalued surface boundary conditions. |
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| Keywords: | Equivalued surface boundary conditions Quasilinear Parabolic equations Existence and uniqueness |
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