HOMOGENIZATION PROBLEMS OF PARABOLIC MINIMA 被引量：1

HOMOGENIZATION PROBLEMS OF PARABOLIC MINIMA

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摘要 We study the r-convergence of a class of 'parabolic' integral functionals for which the integrand f(z/,u/,Du) is allowed to satisfy a non-coercive assumption. Our results, restricted to the 'elliptic' case, generalize the main results of paper [7-8] and give an answer to an open problem in them. We study the r-convergence of a class of 'parabolic' integral functionals for which the integrand f(z/,u/,Du) is allowed to satisfy a non-coercive assumption. Our results, restricted to the 'elliptic' case, generalize the main results of paper [7-8] and give an answer to an open problem in them.

作者简怀玉

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1996年第3期318-327,共10页 应用数学学报（英文版）

关键词 HOMOGENISATION -CONVERGENCE parabolic minima nonlinear parabolic equations Homogenisation, -convergence, parabolic minima, nonlinear parabolic equations

分类号 O186 [理学—基础数学]

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同被引文献6

1简怀玉.A relation between Г-convergence of functionals and their associated gradient flows[J].Science China Mathematics,1999,42(2):133-139. 被引量：3
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6Hans Wilhelm Alt,Stephan Luckhaus.Quasilinear elliptic-parabolic differential equations[J]. Mathematische Zeitschrift . 1983 (3)

引证文献1

1简怀玉.ON THE HOMOGENIZATION OF DEGENERATE PARABOLIC EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2000,16(1):100-110. 被引量：10

二级引证文献10

1Xing-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
2张兴友,王国联.一类拟线性抛物方程的吸引子及其均匀化[J].应用数学学报,2005,28(2):262-280. 被引量：1
3Bin Heng SONG,Huai Yu JIAN.Fundamental Solution of the Anisotropic Porous Medium Equation[J].Acta Mathematica Sinica,English Series,2005,21(5):1183-1190.
4Zhiming Chen.RECENT ADVANCES OF UPSCALING METHODS FOR THE SIMULATION OF FLOW TRANSPORT THROUGH HETEROGENEOUS POROUS MEDIA[J].Journal of Computational Mathematics,2006,24(3):393-400. 被引量：2
5Hai Tao CAO,Xing Ye YUE.Homogenization of a Nonlinear Degenerate Parabolic Differential Equation[J].Acta Mathematica Sinica,English Series,2013,29(7):1429-1436. 被引量：1
6赵磊娜.非线性各向异性椭圆方程的均匀化[J].数学学报（中文版）,2016,59(2):209-214.
7DONATO Patrizia,YANG ZhanYing.The periodic unfolding method for the heat equation in perforated domains[J].Science China Mathematics,2016,59(5):891-906. 被引量：1
8赵磊娜.退化拟线性椭圆方程的均匀化[J].数学物理学报（A辑）,2017,37(5):860-868.
9YANG ZHAN-YING,SHU WAN,PAN ZHANG-PING,PENG CHAN-QUAN.A Note on Homogenization of Parabolic Equation in Perforated Domains[J].Communications in Mathematical Research,2018,34(3):230-240.
10张兴友.The homogenization of a class of degenerate quasilinear parabolic equations[J].Journal of Chongqing University,2003,2(2):94-96.

1Cheng-ming Huang,Hong-yuan Fu,Shou-fu Li,Guang-nan Chen.D-CONVERGENCE OF RUNGE-KUTTA METHODS FOR STIFF DELAY DIFFERENTIAL EQUATIONS[J].Journal of Computational Mathematics,2001,19(3):259-268. 被引量：4
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6ZHANG Chengjian(Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China).Convergence analysis for general linear methods applied to stiff delay differential equations[J].Progress in Natural Science:Materials International,2002,12(6):414-420. 被引量：1
7Weiguo Liu,Xinmei Liu.A TAYLOR APPROXIMATION METHOD OF STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2013,29(2):167-176.
8YUAN DeMei,AN Jun.Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications[J].Science China Mathematics,2009,52(9):1887-1904. 被引量：50
9WEI JiDong,ZHU QiDing.Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements[J].Science China Mathematics,2009,52(8):1671-1684. 被引量：1
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Acta Mathematicae Applicatae Sinica

1996年第3期

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HOMOGENIZATION PROBLEMS OF PARABOLIC MINIMA 被引量：1

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