Regularity for nonlinear variational inequalities of hyperbolic type

被引：0

作者：

Jeong, Jin-Mun ^{[1
]}

Ju, Eun-Young ^{[1
]}

Cheon, Su-Jin ^{[1
]}

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 11期

基金：

新加坡国家研究基金会;

关键词：

Variational inequalities; Hyperbolic type equation; Nonlinear perturbation; Wellposedness; Analytic semigroup;

D O I：

10.1016/j.camwa.2011.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the regularity for nonlinear variational inequalities of second order in Hilbert spaces with more general conditions on the nonlinear terms and without condition of the compactness of the principal operators. We also obtain the norm estimate of a solution of the given nonlinear equation on C([0, T]; V)boolean AND C(1), ((0, T]; H)boolean AND C(2) ((0, T]; V*) by using the results of its corresponding hyperbolic semilinear part. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4230 / 4237

页数：8

共 50 条

[11] On a Generalization of Nonlinear Pseudoparabolic Variational Inequalities
Petrosyan, A. A.
Hakobyan, G. S.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2008, 43 (02): : 118 - 125
[12] On a generalization of nonlinear pseudoparabolic variational inequalities
A. A. Petrosyan
G. S. Hakobyan
Journal of Contemporary Mathematical Analysis, 2008, 43 : 118 - 125
[13] Systems of Variational Inequalities with Nonlinear Operators
Ceng, Lu-Chuan
Yuan, Qing
MATHEMATICS, 2019, 7 (04)
[14] Strongly nonlinear variational-like inequalities
Panda, GK
Dash, N
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (07) : 797 - 807
[15] Coupled systems of nonlinear variational inequalities and applications?
Costea, Nicusor
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 118
[16] Iterative methods for generalized nonlinear variational inequalities
Noor, MA
AlSaid, EA
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (08) : 1 - 11
[17] Variational inequalities of elliptic and parabolic type
Rudd, M
Schmitt, K
TAIWANESE JOURNAL OF MATHEMATICS, 2002, 6 (03): : 287 - 322
[18] Nonlinear evolution variational inequalities with nonmonotone perturbations
Liu, ZH
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (11) : 1231 - 1236
[19] Nonlinear variational evolution inequalities with nonlocal conditions
Jeong, JM
Kim, DH
Park, JY
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2004, 41 (04) : 647 - 665
[20] A class of hyperbolic variational-hemivariational inequalities without damping terms
Zeng, Shengda
Migorski, Stanislaw
Van Thien Nguyen
ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 1287 - 1306

← 1 2 3 4 5 →