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Filters and open filters are useful utilities to explore structures of domains. In this paper, it is proved that for a continuous distributive semilattice L, OFilt(L) is a distributive lattice iff L i...
Generalization of some extremal problems on non-overlapping domains with free poles
Geometric Topology Complex Variables non-overlapping domains free poles
2011/8/25
Abstract: Although much research has been devoted to extremal problems on non-overlapping domains little is known about all solutions of this problems. We generalized some of this problems on the case...
The Skorohod oblique reflection problem in time-dependent domains
The Skorohod oblique reflection problem time-dependent domains
2010/11/15
The deterministic Skorohod problem plays an important role in the construction and analysis of diffusion processes with reflection. In the form studied here, the multidimensional Skorohod problem was...
Random Attractors for Sto chastic Reaction-Diffusion Equations on Unb ounded Domains
Sto chastic Reaction-Diffusion Equations Domains
2015/4/3
When Ω is unb ounded the time-t map is no longer
compact, but even i n this case, if g decays sufficiently fast
at infinity, asymptotic compactness of orbits and hence
the existence of a comp...