EXISTENCE AND UNIQUENESS OF RENORMALIZED SOLUTIONS FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS 被引量：1

EXISTENCE AND UNIQUENESS OF RENORMALIZED SOLUTIONS FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS

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摘要 This article discusses the existence and uniqueness of renormalized solutions for a class of degenerate parabolic equations b（u）t - div（a（u, u）） = H（u）（f ＋ divg）. This article discusses the existence and uniqueness of renormalized solutions for a class of degenerate parabolic equations b（u）t - div（a（u, u）） = H（u）（f ＋ divg）.

作者张丽琴赵俊宁

机构地区 Department of Mathematics Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2009年第2期251-264,共14页 数学物理学报（B辑英文版）

基金 supported by Science Foundation of Xiamen University of Technology (YKJ08020R)

关键词 Renormalized solutions degenerate parabolic equations Renormalized solutions, degenerate parabolic equations

分类号 O175 [理学—数学]

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1DiPerna R J, Lions P L. On the Cauchy problem for Boltzmann equations: Global existence and weak stability. Ann Math, 1989, 130:321-366 被引量：1
2Lions P L. Mathematical topics in fluids mechanics, incompressible models. New York: Oxford Univ Press, 1996, 1:11-208 被引量：1
3Amma K, Wittbold P. Existence of renormalized solutions of degenerate elliptic-parabolic problems. Proceedings of the Royal Society of Edinburgh, 2003, 133A: 477-496 被引量：1
4Carrillo J, Wittbold P. Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems. J Diff Equ, 1999, 156:93-121 被引量：1
5Dominique Blanchard, Francois Murat, Hicham Redwane. Existence and uniqueness of a renormalized solution for a fairly general class nonlinear parabolic problems. J Diff Equ, 2001, 177:331- 374 被引量：1
6Francois Murat, Porretta A. Stability properties, existence and nonexistence of renormalized solutions for elliptic equations with measure data. Comm P D E, 2002, 27(11/12): 2267-2310 被引量：1
7Boccardo L, Ciachetti D, Diaz J I, Murat F. Existence and regularity of renormalized solutions for some elliptic problems involving derivations of nonlinear terms. J Diff Equ, 1993, 106:215- 237 被引量：1
8Simon J. Compact sets in L^P(0, T; B). Ann Mat Pura Appl, 1987, 146(4): 65 -96 被引量：1
9Landes R. On the existence of weak solutions for quasilinear parabolic initial boundary-value problems. Proc T Soc Edinb, 1981, 89A: 217-237 被引量：1
10Boccardo L, Murat F, Puel J P. Existence of bounded solutions for nonlinear elliptic unilateral problems. Ann Mat Pura Appl, 1988, 152:183-196 被引量：1

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1徐超江.关于一类半线性退化椭圆方程的存在性结果[J].数学进展,1996,25(6):492-499. 被引量：1
2闻国椿.SOME BOUNDARY VALUE PROBLEMS FOR NONLINEAR DEGENERATE ELLIPTIC EQUATIONS OF SECOND ORDER[J].Acta Mathematica Scientia,2007,27(3):663-672. 被引量：2
3李珂,魏红军.INFINITELY MANY SOLUTIONS FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS[J].Acta Mathematica Scientia,2011,31(5):1899-1910. 被引量：1

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1史天勤.二阶拟线性退缩抛物方程整体解的序性质[J].长江大学学报（社会科学版）,1984,21(2):7-12.
2吴雅萍,叶其孝.一类退缩抛物方程的平衡解[J].科学通报,1993,38(5):394-395.
3谭忠,刘宪高.退缩抛物方程整体解渐近性与轨道有界性[J].数学年刊（A辑）,2001,22(1):71-76. 被引量：2
4袁洪君.一类退缩抛物方程自由边界的正则性[J].数学年刊（A辑）,1994,1(1):89-97.
5王一夫,伍卓群,尹景学.TIME PERIODIC SOLUTIONS OF A CLASS OF DEGENERATE PARABOLIC EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2000,16(2):180-187.
6简怀玉.ON THE HOMOGENIZATION OF DEGENERATE PARABOLIC EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2000,16(1):100-110. 被引量：10
7袁洪君.退缩抛物方程正则化方法在双曲守恒律研究中的应用[J].吉林大学自然科学学报,1995(4):1-4. 被引量：7
8杨世廞,庄琼珊.非线性退缩抛物型方程组的初边值问题[J].厦门大学学报（自然科学版）,1989,28(3):215-221.
9董丕明.二阶拟线性退缩抛物方程的第三边值问题[J].辽宁大学学报（自然科学版）,1990,17(3):10-13.
10尹景学.拟线性退缩抛物方程的若干问题[J].吉林大学研究生论文集刊,1989(4):1-18.

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2009年第2期

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EXISTENCE AND UNIQUENESS OF RENORMALIZED SOLUTIONS FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS 被引量：1

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