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Stability analysis of partial differential variational inequalities in Banach spaces

2020
journal article
article
10.15388/namc.2020.25.15730
Journal
Nonlinear Analysis
40
Author
Guo Faming

Li Wei

Xiao Yi-bin

Migórski Stanisław
Volume
25
Number
1
Pages
69-83
ISSN
1392-5113
eISSN
2335-8963
Keywords in English

partial differential variational inequality

mild solution

stability

upper semicontinuity

continuity

Language
English
Journal language
English
Abstract in English

In this paper, we study a class of partial differential variational inequalities. A general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping and the set of constraints. The main tools are theory of semigroups, theory of monotone operators, and variational inequality techniques.

Affiliation
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
Scopus© citations
12
dc.abstract.enIn this paper, we study a class of partial differential variational inequalities. A general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping and the set of constraints. The main tools are theory of semigroups, theory of monotone operators, and variational inequality techniques.pl
dc.affiliationWydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowaniapl
dc.contributor.authorGuo, Famingpl
dc.contributor.authorLi, Weipl
dc.contributor.authorXiao, Yi-binpl
dc.contributor.authorMigórski, Stanisław - 130585 pl
dc.date.accessioned2020-04-01T14:41:15Z
dc.date.available2020-04-01T14:41:15Z
dc.date.issued2020pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number1pl
dc.description.physical69-83pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume25pl
dc.identifier.doi10.15388/namc.2020.25.15730pl
dc.identifier.eissn2335-8963pl
dc.identifier.issn1392-5113pl
dc.identifier.project823731 – CONMECHpl
dc.identifier.projectUMO-2012/06/A/ST1/ 00262pl
dc.identifier.projectQinzhou University Project No. 2018KYQD06,pl
dc.identifier.project3792/GGPJ/H2020/2017/0pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/152974
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subject.enpartial differential variational inequalitypl
dc.subject.enmild solutionpl
dc.subject.enstabilitypl
dc.subject.enupper semicontinuitypl
dc.subject.encontinuitypl
dc.subtypeArticlepl
dc.titleStability analysis of partial differential variational inequalities in Banach spacespl
dc.title.journalNonlinear Analysispl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
In this paper, we study a class of partial differential variational inequalities. A general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping and the set of constraints. The main tools are theory of semigroups, theory of monotone operators, and variational inequality techniques.
dc.affiliationpl
Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
dc.contributor.authorpl
Guo, Faming
dc.contributor.authorpl
Li, Wei
dc.contributor.authorpl
Xiao, Yi-bin
dc.contributor.authorpl
Migórski, Stanisław - 130585
dc.date.accessioned
2020-04-01T14:41:15Z
dc.date.available
2020-04-01T14:41:15Z
dc.date.issuedpl
2020
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
1
dc.description.physicalpl
69-83
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
25
dc.identifier.doipl
10.15388/namc.2020.25.15730
dc.identifier.eissnpl
2335-8963
dc.identifier.issnpl
1392-5113
dc.identifier.projectpl
823731 – CONMECH
dc.identifier.projectpl
UMO-2012/06/A/ST1/ 00262
dc.identifier.projectpl
Qinzhou University Project No. 2018KYQD06,
dc.identifier.projectpl
3792/GGPJ/H2020/2017/0
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/152974
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subject.enpl
partial differential variational inequality
dc.subject.enpl
mild solution
dc.subject.enpl
stability
dc.subject.enpl
upper semicontinuity
dc.subject.enpl
continuity
dc.subtypepl
Article
dc.titlepl
Stability analysis of partial differential variational inequalities in Banach spaces
dc.title.journalpl
Nonlinear Analysis
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Migórski, Stanisław
No affiliation
Guo, Faming
Li, Wei
Xiao, Yi-bin

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