Study of weak solutions for degenerate parabolic inequalities with nonstandard conditions

被引：3

作者：

Sun, Yudong ^{[1
]}

Wu, Tao ^{[2
]}

机构：

[1] Guizhou Minzu Univ, Dept Finance, Guiyang 550025, Peoples R China

[2] Guizhou Educ Univ, Guizhou Inst Minor Educ, Guiyang 550018, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

关键词：

Parabolic variational inequality; Weak solution; Penalty problem; Existence; Uniqueness; VARIATIONAL INEQUALITY; EQUATIONS;

D O I：

10.1186/s13660-022-02872-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the degenerate parabolic variational inequalities in a bounded domain. By solving a series of penalty problems, the existence and uniqueness of the solutions in the weak sense are proved by the energy method and a limit process.

引用

页数：15

共 50 条

[41] On uniqueness theorem on weak solutions to the parabolic-parabolic Keller-Segel system of degenerate and singular types [J].

Miura, Masanari ;

Sugiyama, Yoshie .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 257 (11) :4064-4086

[42] Local boundedness of local weak solutions for doubly degenerate parabolic systems with singular weights [J].

Wang, Yongzhong ;

Niu, Pengcheng ;

Cui, Xuewei .

APPLIED MATHEMATICS LETTERS, 2012, 25 (11) :1711-1715

[43] INVESTIGATING WEAK SOLUTIONS FOR A SINGULAR AND DEGENERATE SEMILINEAR PARABOLIC EQUATION WITH A NONLINEAR INTEGRAL CONDITION [J].

Batiha, Iqbal m. ;

Chebana, Zainouba ;

Oussaeif, Taki-eddine ;

Jebril, Iqbal H. ;

Dehilis, Sofiane ;

Alkhazaleh, Shawkat .

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2024, 42 (06) :1321-1340

[44] UNIQUENESS AND COMPARISON THEOREMS FOR SOLUTIONS OF DOUBLY NONLINEAR PARABOLIC EQUATIONS WITH NONSTANDARD GROWTH CONDITIONS [J].

Antontsev, Stanislav ;

Chipot, Michel ;

Shmarev, Sergey .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (04) :1527-1546

[45] EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS [J].

Chen, Peiying .

ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2017, 24 :38-52

[46] Existence and Uniqueness of Generalized Solutions of Variational Inequalities with Fourth-Order Parabolic Operators in Finance [J].

Wu, Tao ;

Sun, Yudong .

SYMMETRY-BASEL, 2022, 14 (09)

[47] EXISTENCE AND ATTRACTIVITY OF STATIONARY SOLUTIONS OF A DEGENERATE PARABOLIC EQUATION [J].

WU, YP ;

YE, QX .

CHINESE SCIENCE BULLETIN, 1993, 38 (10) :805-807

[48] Local existence and uniqueness of solutions of a degenerate parabolic system [J].

Zhang, Dazhi ;

Sun, Jiebao ;

Wu, Boying .

ADVANCES IN DIFFERENCE EQUATIONS, 2011,

[49] Existence and Attractivity of Stationary Solutions of a Degenerate Parabolic Equation [J].

吴雅萍 ;

叶其孝 .

Chinese Science Bulletin, 1993, (10) :805-807

[50] Local existence and uniqueness of solutions of a degenerate parabolic system [J].

Dazhi Zhang ;

Jiebao Sun ;

Boying Wu .

Advances in Difference Equations, 2011

← 1 2 3 4 5 →