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非线性抛物型方程解的唯一性和比较原理 被引量：2

Uniqueness and Comparisive Principle of Solutions for Nonlinear Parabolic Equations
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摘要 利用微分方程边值问题上下解定义及相关理论，给出了一类非线性抛物型方程φ（u）i-divA（x，u,△u）＋B（x，u△，△u）=f（x，t）的两类边值问题在适宜的条件下解的唯一性和比较原理． By using the definition of super-sub-solution and relative theories,we study the uniqueness and comparisive principle ofr a class of nonlinear parabolic equationsφ（u）i-divA（x,u,△u）＋B（x,u△,△u）=f（x,t）with two classes boundary value under the suitable conditions.
作者 张继兵 高云柱
机构地区 北华大学师范分院 北华大学数学学院
出处 《北华大学学报（自然科学版）》 CAS 2008年第5期403-407,共5页 Journal of Beihua University（Natural Science）
关键词 非线性抛物型方程 上下解 唯一性 比较原理 Nonlinear parabolic equations Super-sub-solutions Uniqueness Comparisive principle
分类号 O175.8 [理学—基础数学]
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参考文献10

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共引文献1

同被引文献8

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  • 8ZHANG Chao ZHOU Shulin.A Fourth-order Degenerate Parabolic Equation with Variable Exponent[J].Journal of Partial Differential Equations,2009,22(4):376-392. 被引量：1

引证文献2

二级引证文献2

北华大学学报（自然科学版）
2008年 第5期

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