Harnack Estimates for Weak Solutions to a Singular Parabolic Equation 被引量：3

Harnack Estimates for Weak Solutions to a Singular Parabolic Equation

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摘要 By an interpolation method,an intrinsic Harnack estimate and some supestimates are established for nonnegative solutions to a general singular parabolic equation.

作者 Huashui ZHAN

机构地区 School of Sciences

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2011年第3期397-416,共20页 数学年刊（B辑英文版）

基金 Project supported by the Fujian Provincial Natural Science Foundation of China(No.2009J01009) the Natural Science Foundation of Jimei University

关键词 Harnack estimate Interpolation method Nonnegative solution Singular parabolic equation 抛物型方程估计奇异弱解插值方法

分类号 O175.26 [理学—基础数学] O212.1 [理学—概率论与数理统计]

引文网络
相关文献

参考文献2

1YANG SHIXIN.HARNACK ESTIMATES FOR WEAK SOLUTIONS OF EQUATIONS OF NON-NEWTONIAN POLYTROPIC FILTRATION[J].Chinese Annals of Mathematics,Series B,2001,22(1):63-74. 被引量：2
2赵俊宁,徐中海.Cauchy problem and initial traces for a doubly nonlinear degenerate parabolic equation[J].Science China Mathematics,1996,39(7):673-684. 被引量：6

二级参考文献7

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共引文献5

1李春光,秦莹,廉松哲,袁洪君.具有L^1初值的非牛顿多方渗流方程解的正性和熄灭性[J].吉林大学学报（理学版）,2009,47(1):1-4.
2Huashui ZHAN.Solution to Nonlinear Parabolic Equations Related to P-Laplacian[J].Chinese Annals of Mathematics,Series B,2012,33(5):767-782. 被引量：5
3喻琴,崔泽建.一类带有非线性源的P-Laplacian方程解的熄灭和不熄灭问题[J].西华师范大学学报（自然科学版）,2014,35(1):77-81.
4汤林冰,詹华税.一类双重退化渗流方程解的存在性[J].集美大学学报（自然科学版）,2015,20(3):225-229.
5詹华税.双非线性抛物方程初始迹与Harnack不等式[J].数学学报（中文版）,2014,57(3):537-558.

同被引文献10

1HuiJunFAN.Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure[J].Acta Mathematica Sinica,English Series,2004,20(4):663-682. 被引量：2
2ZHAO JUNNING.SOURCE－TYPE　SOLUTIONS　OF　A　QUASILINEAR　DEGENERATE　PARABOLIC　EQUATION　WITH　ABSORPTION[J].Chinese Annals of Mathematics,Series B,1994,15(1):89-104. 被引量：6
3袁洪君.非牛顿多方渗流方程的Harnack不等式[J].吉林大学自然科学学报,1994(4):19-22. 被引量：1
4杨金顺,赵俊宁.含吸附项发展的p－Laplace方程的注记[J].吉林大学自然科学学报,1995(2):35-38. 被引量：6
5Hong Jun YUAN Song Zhe LIAN Chun Ling CAO Wen Jie GAO Xiao Jing XU.Extinction and Positivity for a Doubly Nonlinear Degenerate Parabolic Equation[J].Acta Mathematica Sinica,English Series,2007,23(10):1751-1756. 被引量：5
6赵俊宁,徐中海.Cauchy problem and initial traces for a doubly nonlinear degenerate parabolic equation[J].Science China Mathematics,1996,39(7):673-684. 被引量：6
7Huashui ZHAN.Solution to Nonlinear Parabolic Equations Related to P-Laplacian[J].Chinese Annals of Mathematics,Series B,2012,33(5):767-782. 被引量：5
8袁洪君.非线性退缩抛物方程弱解的Hlder连续性[J].吉林大学自然科学学报,1991(2):36-51. 被引量：5
9陈才生,王如云.双重退化抛物型方程整体解的存在性和L^∞估计[J].数学学报（中文版）,2001,44(6):1089-1098. 被引量：4
10YANG SHIXIN.HARNACK ESTIMATES FOR WEAK SOLUTIONS OF EQUATIONS OF NON-NEWTONIAN POLYTROPIC FILTRATION[J].Chinese Annals of Mathematics,Series B,2001,22(1):63-74. 被引量：2

引证文献3

1Huashui ZHAN.Solution to Nonlinear Parabolic Equations Related to P-Laplacian[J].Chinese Annals of Mathematics,Series B,2012,33(5):767-782. 被引量：5
2Huashui ZHAN.Initial Boundary Value Problem of an Equation from Mathematical Finance[J].Chinese Annals of Mathematics,Series B,2016,37(3):465-482. 被引量：1
3詹华税.双非线性抛物方程初始迹与Harnack不等式[J].数学学报（中文版）,2014,57(3):537-558.

二级引证文献6

1欧阳苗.一类带吸附项双重退化奇异扩散方程的解[J].厦门理工学院学报,2015,23(5):84-88.
2赵江艳,詹华税.一类发展p(x)-Laplace方程解的存在唯一性[J].厦门理工学院学报,2015,23(5):94-100.
3贺艺军,易承扬.一类双重退化方程解的爆破问题[J].山西大学学报（自然科学版）,2019,42(4):793-798.
4许文彬.一类变指数退化抛物方程的解[J].集美大学学报（自然科学版）,2021,26(6):556-563.
5詹华税,袁洪君.一类退化抛物方程熵解的稳定性[J].厦门大学学报（自然科学版）,2024,63(2):315-320.
6詹华税.双非线性抛物方程初始迹与Harnack不等式[J].数学学报（中文版）,2014,57(3):537-558.

1符鸿源.CONVERGENCE OF DIFFERENCE SOLUTIONS FOR DEGENERATE OR SINGULAR PARABOLIC EQUATION[J].Chinese Science Bulletin,1987,32(15):1014-1019.
2夏莉,李敬娜,刘强.EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION[J].Acta Mathematica Scientia,2016,36(6):1651-1661. 被引量：1
3李刚.The Solvability of Neumann Problem for a Singular Parabolic Equation[J].Northeastern Mathematical Journal,2008,24(1):10-18.
4夏莉,李敬娜,姚正安.EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A SINGULAR PARABOLIC EQUATION[J].Acta Mathematica Scientia,2012,32(5):1875-1882. 被引量：1
5郑攀,穆春来,胡学刚,张付臣.SECONDARY CRITICAL EXPONENT AND LIFE SPAN FOR A DOUBLY SINGULAR PARABOLIC EQUATION WITH A WEIGHTED SOURCE[J].Acta Mathematica Scientia,2016,36(1):244-256.
6Baozhu Zheng,Youpeng Chen.GLOBAL BLOW-UP FOR A LOCALIZED DEGENERATE AND SINGULAR PARABOLIC EQUATION WITH WEIGHTED NONLOCAL BOUNDARY CONDITIONS[J].Annals of Differential Equations,2014,30(4):484-493. 被引量：1

Chinese Annals of Mathematics,Series B

2011年第3期

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