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
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.
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Mathematics of the USSR-Izvestiya, 1983, 20:2, 303–332
MSC: 35K85, 35R15, 47F05, 47H05, 49A29
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
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\paper Boundedness and almost periodicity in time of solutions of evolutionary variational inequalities
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\jour Math. USSR-Izv.
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This publication is cited in the following articles:
A. A. Pankov, “Bounded solutions, almost periodic in time, of a class of nonlinear evolution equations”, Math. USSR-Sb., 49:1 (1984), 73–86
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