On Doubly Degenerate Quasilinear Parabolic Equations of Higher Order 被引量：5

On Doubly Degenerate Quasilinear Parabolic Equations of Higher Order

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摘要 We deal with the existence of periodic solutions for doubly degenerate quasilinear parabolic equations of higher order,which can degenerate,on a part of the boundary,on a segment in the interior of the domain and in time. We deal with the existence of periodic solutions for doubly degenerate quasilinear parabolic equations of higher order,which can degenerate,on a part of the boundary,on a segment in the interior of the domain and in time.

作者 Zhen Hai LIU Department of Mathematics,Changsha University of Science and Technology Changsha 410077,P.R.China

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第1期197-208,共12页 数学学报（英文版）

基金 Project supported partially by NNSF of China Grant No.10171008 NSF of Hunan Province Grant No.03JJY3003

关键词 Double degeneration Quasilinear parabolic equations Periodic solutions Double degeneration Quasilinear parabolic equations Periodic solutions

分类号 O175.26 [理学—基础数学]

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参考文献2

1Zhenhai Liu Department of Mathematics,Changsha University of Electric Power,Changsha 410077,P.R.China.On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order[J].Acta Mathematica Sinica,English Series,2000,16(2):313-324. 被引量：5
2Liu Zhenhai Department of Mathematics, Changsha University of Electric Power, Changsha 410077, China.Existence of Solutions for Degenerate Quasilinear Parabolic Equationsof Higher Order[J].Acta Mathematica Sinica,English Series,1997,13(4):465-472. 被引量：3

二级参考文献3

1尹景学.PARABOLIC　EQUATIONS　WITH　BOTH　NON－CONVEXITY　NONLINEARITIES　AND　STRONG　DEGENERACY[J].Acta Mathematica Scientia,1994,14(4):451-460. 被引量：1
2张功安.Global Solution for Degenerate Nonlinear Reaction-Diffusion System*[J].Journal of Mathematical Research and Exposition,1993,13(1):7-20. 被引量：1
3Liu Zhenhai.Nonlinear Degenerate Parabolic Equations[J].Acta Mathematica Hungarica (-).1997(1-2)

共引文献5

1刘振海,文贤章.ATTRACTIVITY PROPERTIES OF SOLUTIONS FOR DEGENERATE QUASILINEAR PARABOLIC EQUATIONS OF HIGHER ORDER[J].Annals of Differential Equations,2000,16(2):169-176.
2Xing-youZhang,YongHuang.Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order[J].Acta Mathematicae Applicatae Sinica,2005,21(1):93-100. 被引量：3
3刘明学,刘培德.次可分解算子的不变子空间格的丰富性[J].数学学报（中文版）,2007,50(2):277-280.
4肖翠娥.一类拟线性椭圆方程弱解存在性(英文)[J].湘潭大学自然科学学报,2008,30(4):12-18.
5张兴友.The homogenization of a class of degenerate quasilinear parabolic equations[J].Journal of Chongqing University,2003,2(2):94-96.

同被引文献6

1LIU Zhenhai ZOU Jiezhong.Strong convergence results for hemivariational inequalities[J].Science China Mathematics,2006,49(7):893-901. 被引量：2
2LIU ZhenHai,LI Jing,LI ZhaoWen.Regularization method with two parameters for nonlinear ill-posed problems[J].Science China Mathematics,2008,51(1):70-78. 被引量：4
3简怀玉.ON THE HOMOGENIZATION OF DEGENERATE PARABOLIC EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2000,16(1):100-110. 被引量：10
4刘振海.ON THE IDENTIFICATION OF COEFFICIENTS OF SEMILINEAR PARABOLIC EQUATIONS[J].Acta Mathematicae Applicatae Sinica,1994,10(4):356-367. 被引量：7
5Bo Ling GUO,Gan Shan YANG.Existence and Stability of Static Solutions of the Landau-Lifshitz Equation with Multi-direct Effective Field[J].Acta Mathematica Sinica,English Series,2004,20(6):1135-1152. 被引量：5
6Jian Huaiyu,Chen Donggui Department of Applied Mathematics, Tsinghua University, Beijing 100084, China Yueying Teacher’s College, Hunan 414000, China.On the Cauchy Problem for Certain System of Semilinear Parabolic Equations[J].Acta Mathematica Sinica,English Series,1998,14(1):27-34. 被引量：6

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1Bin Heng SONG,Huai Yu JIAN.Fundamental Solution of the Anisotropic Porous Medium Equation[J].Acta Mathematica Sinica,English Series,2005,21(5):1183-1190.
2Hong 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
3Yun Hua OU,Alemdar HASANOV,Zhen Hai LIU.Inverse Coefficient Problems for Nonlinear Parabolic Differential Equations[J].Acta Mathematica Sinica,English Series,2008,24(10):1617-1624. 被引量：5
4Yun-xiang Li,Yu Ye,Fang-li Xia.Bifurcation Problems for a Class of Degenerate Quasilinear Elliptic Equations[J].Acta Mathematicae Applicatae Sinica,2010,26(3):395-404.
5Gui-fang LIU,Yi-liang LIU.On Double Degenerate Quasilinear Parabolic Variational Inequalities[J].Acta Mathematicae Applicatae Sinica,2013,29(4):861-868.

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2Cui＇e XIAO,Zhenhai LIU.Inverse Coefficient Problems for Elliptic Hemivariational Inequalities[J].Chinese Annals of Mathematics,Series B,2010,31(4):473-480.
3Wei CHENG,Chu Li FU.A Modified Tikhonov Regularization Method for an Axisymmetric Backward Heat Equation[J].Acta Mathematica Sinica,English Series,2010,26(11):2157-2164. 被引量：4
4肖翠娥.一类非线性抛物型方程反系数问题拟解的存在性[J].湖南城市学院学报（自然科学版）,2011,20(3):38-40.
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6Huashui 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
7詹华税.对流扩散方程的解[J].数学年刊（A辑）,2013,34(2):235-256. 被引量：6
8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.
9Ming Yu CHEN School of Science,Quanzhou Nomal University,Quanzhou,Fujian 362000,P,R.China.Blow-up for Doubly Degenerate Nonlinear Parabolic Equations[J].Acta Mathematica Sinica,English Series,2008,24(9):1525-1532.
10Mohammad Kalimuddin Ahmad,Stephan Didas,Alemdar Hasanov,Javid Iqbal.Sharp Operator Based Edge Detection[J].Journal of Signal and Information Processing,2015,6(2):180-189.

1陈祖墀.THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS[J].Acta Mathematica Scientia,1990,10(1):71-78.
2伍卓群,尹景学,雷沛东,严子谦.Uniqueness of BV Entropy Solutions for Higher Dimensional Quasilinear Parabolic Equations with Arbitrary Degeneracy[J].Northeastern Mathematical Journal,2002,18(1):1-4. 被引量：1
3ZOU Benteng (School Of Mathematics Science, Peking University, Beijing 100871, China,15 MLH University Of Iowa, Iowa City, IA 52242-1419, USA).SOME INITIAL-OBLIQUE DERIVATIVE BOUNDARY VALUE PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS WITH UNBOUNDED COEFFICIENTS[J].Journal of Systems Science & Complexity,2001,14(3):269-277.
4王向东.THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASILINEAR PARABOLIC EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),1998,19(6):573-583.
5潘佳庆.THE SECOND INITIAL-BOUNDARY VALUE PROBLEM FOR A QUASILINEAR PARABOLIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS[J].Applied Mathematics and Mechanics(English Edition),2000,21(11):1331-1337.
6刘振海,文贤章.ATTRACTIVITY PROPERTIES OF SOLUTIONS FOR DEGENERATE QUASILINEAR PARABOLIC EQUATIONS OF HIGHER ORDER[J].Annals of Differential Equations,2000,16(2):169-176.
7Zhenhai Liu Department of Mathematics,Changsha University of Electric Power,Changsha 410077,P.R.China.On the Solvability of Degenerate Quasilinear Parabolic Equations of Second Order[J].Acta Mathematica Sinica,English Series,2000,16(2):313-324. 被引量：5
8Xing-youZhang,YongHuang.Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order[J].Acta Mathematicae Applicatae Sinica,2005,21(1):93-100. 被引量：3
9张兴友.The homogenization of a class of degenerate quasilinear parabolic equations[J].Journal of Chongqing University,2003,2(2):94-96.
10WangChunpeng YinJingxue.APPROXIMATE CONTROLLABILITY OF A CLASS OF QUASILINEAR PARABOLIC EQUATIONS[J].Journal of Partial Differential Equations,2002,15(3):81-96.

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