Abstract:
In this paper bounded and almost periodic (in the sense of Bohr and in the sense of Stepanov) solutions of evolutionary variational inequalities with monotone operators are investigated. Natural existence and uniqueness theorems are obtained for such solutions. The regularity with respect to time of bounded solutions is also studied in the appropriate spaces.
Bibliography: 19 titles.
\Bibitem{Pan79}
\by A.~A.~Pankov
\paper Bounded and almost periodic solutions of evolutionary variational inequalities
\jour Math. USSR-Sb.
\yr 1980
\vol 36
\issue 4
\pages 519--533
\mathnet{http://mi.mathnet.ru/eng/sm2340}
\crossref{https://doi.org/10.1070/SM1980v036n04ABEH001858}
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https://doi.org/10.1070/SM1980v036n04ABEH001858
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This publication is cited in the following 5 articles:
Haruo NAGASE, “On an asymptotic behaviour of solutions of nonlinear parabolic variational inequalities”, Jpn. j. math, 15:1 (1989), 169
C. Corduneanu, J.A. Goldstein, North-Holland Mathematics Studies, 92, Differential Equations, Proceedings of the Conference held at The University of Alabama in Birmingham, 1984, 115
A. A. Pankov, “Bounded solutions, almost periodic in time, of a class of nonlinear evolution equations”, Math. USSR-Sb., 49:1 (1984), 73–86
C. Corduneanu, “Almost periodic solutions to nonlinear elliptic and parabolic equations”, Nonlinear Analysis: Theory, Methods & Applications, 7:4 (1983), 357
A. A. Pankov, “Boundedness and almost periodicity in time of solutions of evolutionary variational inequalities”, Math. USSR-Izv., 20:2 (1983), 303–332
Citation in format AMSBIB
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