一类将含梯度项问题转化为无梯度项问题的非线性变换

Nonlinear Transformations of Problems with Gradient Term Turninginto Problems with no Gradient Term

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摘要采用一组非线性变换,将一类含有梯度项的抛物问题转化为另一类不含梯度项的抛物问题,并揭示了无穷边值抛物问题及零奇异边值抛物问题之间的相互关系. By using a class of nonlinear transformations, some parabolic problems with gradient term are turned into those with no gradient term, which discloses the mutual relationships between problems with infinite boundary values and those with singular zero boundary values.

作者夏莉

机构地区广东财经大学数学与统计学院

出处《广东第二师范学院学报》 2015年第3期38-41,共4页 Journal of Guangdong University of Education

基金国家自然科学基金青年基金资助项目(11201311)

关键词梯度项抛物方程奇异性 gradient term parabolic equation singularity

分类号 O175 [理学—基础数学]

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参考文献7

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共引文献1

1郑旭东,燕艳菊,吕志伟,张延凤.一类非线性4阶椭圆方程解的多重性[J].河南师范大学学报（自然科学版）,2014,42(1):31-35.

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广东第二师范学院学报

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一类将含梯度项问题转化为无梯度项问题的非线性变换

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