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一类退化抛物型方程解的比较原理 被引量:1

Comparison principle of solution to a degenerate parabolic equation
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摘要 研究了具有非线性边界条件和非线性源项的退化抛物型方程,并在满足一定假设前提下利用弱解的定义和传统的积分方法给出了弱解的比较原理,所得的结果把通常的比较原理推广到更宽的条件下. We study a degenerate parabolic equation with a nonlinear boundary condition and a nonlinear source term, and comparison principle is given by using the definition of weak solution and integration way under some conditions, the results generalize the usual comparison principle for the more relaxed conditions.
出处 《延边大学学报(自然科学版)》 CAS 2012年第4期259-261,共3页 Journal of Yanbian University(Natural Science Edition)
关键词 弱解 退化抛物型方程 非线性边界条件 比较原理 weak solution degenerate parabolic equation nonlinear boundary conditions comparison principle
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参考文献5

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二级参考文献1

同被引文献10

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  • 8魏英杰,邬娟.一类拟线性退化抛物型方程组解的存在性与爆破[J].吉林大学学报(理学版),2010,48(3):406-408. 被引量:6
  • 9刘振海.二阶退化拟线性抛物型方程解的存在性[J].数学学报(中文版),2001,44(1):77-84. 被引量:1
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