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.
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页数：13
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  • [1] A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics
    Chen, Tao
    Huang, Nan-jing
    Li, Xue-song
    Zou, Yun-zhi
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 101
  • [2] Parabolic variational inequality with parameter and gradient constraints
    Chen, Xiaoshan
    Chen, Yingshan
    Yi, Fahuai
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 385 (02) : 928 - 946
  • [3] American lookback option with fixed strike price-2-D parabolic variational inequality
    Chen, Xiaoshan
    Yi, Fahuai
    Wang, Lihe
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (11) : 3063 - 3089
  • [4] A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities
    Dabaghi, Jad
    Martin, Vincent
    Vohralik, Martin
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 367
  • [5] Study of weak solutions for parabolic equations with nonstandard growth conditions
    Guo, Bin
    Gao, Wenjie
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 374 (02) : 374 - 384
  • [6] Parabolic variational inequalities: The Lagrange multiplier approach
    Ito, K
    Kunisch, K
    [J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2006, 85 (03): : 415 - 449
  • [7] Karatzas I., 1998, BROWNIAN MOTION STOC, V113, DOI 10.1007/978-1-4684-0302-2
  • [8] A new guardian map and boundary theorems applied to the stabilization of initialized fractional control systems
    Lopez-Renteria, Jorge A.
    Aguirre-Hernandez, Baltazar
    Fernandez-Anaya, Guillermo
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (12) : 7832 - 7844
  • [9] On non-fragility of controllers for time delay systems: A numerical approach Baltazar Aguirre-Hernandez a
    Oaxaca-Adams, Guillermo
    Villafuerte-Segura, Raul
    Aguirre-Hernandez, Baltazar
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2021, 358 (09): : 4671 - 4686
  • [10] An integro-differential parabolic variational inequality arising from the valuation of double barrier American option
    Sun Yudong
    Shi Yimin
    Gu Xin
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2014, 27 (02) : 276 - 288
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