Existence and Uniqueness of Generalized Solutions of Variational Inequalities with Fourth-Order Parabolic Operators in Finance

被引：1

作者：

Wu, Tao ^{[1
]}

Sun, Yudong ^{[2
]}

机构：

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

[2] Guizhou Minzu Univ, Sch Polit & Econ Management, Guiyang 550025, Peoples R China

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 09期

关键词：

parabolic variational inequality; generalized solution; penalty method; existence; uniqueness; EQUATIONS;

D O I：

10.3390/sym14091773

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the present study, we analyze a kind of variation-inequality problem based on symmetric structure, which also incorporates fourth-order parabolic operators with a degenerate type. The penalty method is used to construct the approximate solution of the variation-inequality problem, and then the existence and uniqueness of the generalized solution are studied by a limit approximation method.

引用

页数：13

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