[1]梁学信.一类退缩抛物型方程解的性质[J].华侨大学学报(自然科学版),1993,14(4):403-411.[doi:10.11830/ISSN.1000-5013.1993.04.0403]
 Liang Xuexin,Dapartment of,Mangement Information,et al.The properties of the solutions to One Class of Degenerate parabolic Equations[J].Journal of Huaqiao University(Natural Science),1993,14(4):403-411.[doi:10.11830/ISSN.1000-5013.1993.04.0403]
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一类退缩抛物型方程解的性质()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第14卷
期数:
1993年第4期
页码:
403-411
栏目:
出版日期:
1993-10-20

文章信息/Info

Title:
The properties of the solutions to One Class of Degenerate parabolic Equations
作者:
梁学信
华侨大学管理信息科学系
Author(s):
Liang Xuexin Dapartment of Mangement Information Science
关键词:
退缩抛物型方程 广义解 有界性 平凡解
Keywords:
degenerate parabolic equation generalized solution boundedness trivial solution
DOI:
10.11830/ISSN.1000-5013.1993.04.0403
摘要:
在空间En+1的区域Q=Ω×(O,T)考虑满足较一般结构条件的一类退缩抛物型方程(1),证明广义解的有界性,以及如果它的解在Q的抛物边界等于零时,必是平凡解。
Abstract:
At the region Q=Ω·(O,T) in the space En+1, the author considers one class of degenerate parabolic equations satisfying rather general structural conditions. The bounded- ness of generalized solutions is demonstrated. It is also demonstrated that the solut

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[1]梁学信,梁汲廷,吴在德,等.非一致二阶线性抛物型方程广义解的弱最大值原理[J].华侨大学学报(自然科学版),1982,3(2):9.[doi:10.11830/ISSN.1000-5013.1982.02.0009]
[2]梁汲廷.非一致抛物型方程广义解弱最大值原理的一个证明[J].华侨大学学报(自然科学版),1983,4(1):14.[doi:10.11830/ISSN.1000-5013.1983.01.0014]
[3]梁学信.一类拟线性抛物型方程组解的先验估计[J].华侨大学学报(自然科学版),1984,5(2):30.[doi:10.11830/ISSN.1000-5013.1984.02.0030]
[4]梁学信.非一致拟线性抛物型方程广义解的极值原理[J].华侨大学学报(自然科学版),1985,6(1):23.[doi:10.11830/ISSN.1000-5013.1985.01.0023]
 Liang Xuexin.Maximum Principle for the Generalized Solutions of Quasi-Linear Nonuniformly Parabolic Epuations[J].Journal of Huaqiao University(Natural Science),1985,6(4):23.[doi:10.11830/ISSN.1000-5013.1985.01.0023]
[5]梁学信.非一致线性抛物型方程广义解的存在性及唯一性[J].华侨大学学报(自然科学版),1985,6(4):361.[doi:10.11830/ISSN.1000-5013.1985.04.0361]
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[6]梁学信.拟线性抛物型方程组广义解的存在性[J].华侨大学学报(自然科学版),1986,7(4):357.[doi:10.11830/ISSN.1000-5013.1986.04.0357]
 Liang Xuexin.The Existence of the Generalized Solutions for Quasi-Linear Systems of Parabolic Equations[J].Journal of Huaqiao University(Natural Science),1986,7(4):357.[doi:10.11830/ISSN.1000-5013.1986.04.0357]
[7]梁学信.双退缩非线性抛物型方程的初边值问题解的存在性[J].华侨大学学报(自然科学版),1990,11(4):321.[doi:10.11830/ISSN.1000-5013.1990.04.0321]
 Liang Xuexin.The Existence of Solutions for the Initial Boundary Value of Double Degenerate Non-linear Parabolic Equations[J].Journal of Huaqiao University(Natural Science),1990,11(4):321.[doi:10.11830/ISSN.1000-5013.1990.04.0321]
[8]梁学信.拟线性退缩抛物型方程解的弱最大值原理和渐近性[J].华侨大学学报(自然科学版),1991,12(4):4.[doi:10.11830/ISSN.1000-5013.1991.04.0004]
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[9]梁学信,梁■廷.脱化抛物型方程广义解梯度的Hlder连续性[J].华侨大学学报(自然科学版),1992,13(1):1.[doi:10.11830/ISSN.1000-5013.1992.01.0001]
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更新日期/Last Update: 2014-03-22