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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 2, Pages 303–332
DOI: https://doi.org/10.1070/IM1983v020n02ABEH001352 (Mi im1618) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Boundedness and almost periodicity in time of solutions of evolutionary variational inequalities

A. A. Pankov
English version PDF (1495 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1983v020n02ABEH001352
Abstract: In this paper existence theorems are obtained for the solutions of abstract parabolic variational inequalities, which are bounded with respect to time (in the Stepanov and $L^\infty$ norms). The regularity and almost periodicity properties of such solutions are studied. Theorems are also established concerning their solvability in spaces of Besicovitch almost periodic functions. The majority of the results are obtained without any compactness assumptions.
Bibliography: 30 titles.
Received: 28.04.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1982, Volume 46, Issue 2, Pages 314–346
Bibliographic databases:
UDC: 517.9
MSC: 35K85, 35R15, 47F05, 47H05, 49A29
Language: English
Original paper language: Russian
Citation: A. A. Pankov, “Boundedness and almost periodicity in time of solutions of evolutionary variational inequalities”, Izv. Akad. Nauk SSSR Ser. Mat., 46:2 (1982), 314–346; Math. USSR-Izv., 20:2 (1983), 303–332
Citation in format AMSBIB
\Bibitem{Pan82}
\by A.~A.~Pankov
\paper Boundedness and almost periodicity in time of solutions of evolutionary variational inequalities
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 2
\pages 314--346
\mathnet{http://mi.mathnet.ru/im1618}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=651650}
\zmath{https://zbmath.org/?q=an:0509.49006|0494.49006}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 2
\pages 303--332
\crossref{https://doi.org/10.1070/IM1983v020n02ABEH001352}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:439
    Russian version PDF:127
    English version PDF:17
    References:83
    First page:1
     
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