Cauchy Fluxes and Gauss–Green Formulas for Divergence-Measure Fields Over General Open Sets
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-018-01355-4
Abstract: We establish the interior and exterior Gauss–Green formulas for divergence-measure fields in Lp over general open sets, motivated by the rigorous mathematical formulation of the physical principle of balance law via the Cauchy flux in… read more here.
Keywords: cauchy fluxes; divergence measure; measure; measure fields ... See more keywords
Closed discrete selections for sequences of open sets in function spaces
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-017-0756-9
Abstract: Given a sequence $${\mathcal{U} =\{U_n: n \in \omega\}}$$U={Un:n∈ω} of non-empty open subsets of a space X, a set $${\{x_n : n \in \omega\}}$${xn:n∈ω} is a selection of $${\mathcal{U}}$$U if $${x_n \in U_n}$$xn∈Un for every $${n… read more here.
Keywords: sequences open; discrete selections; space; closed discrete ... See more keywords
Fuzzy independent topological spaces generated by fuzzy $$\gamma ^{*}$$γ∗-open sets and their applications
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DOI: 10.1007/s13370-017-0483-y
Abstract: To the best of our knowledge, till date there are only two directions along which fuzzy topology (general topology) can be compared, one is the generalization of fuzzy topology (such as fuzzy supra topology, generalized… read more here.
Keywords: fuzzy independent; open sets; topology; fuzzy topology ... See more keywords
On Two Classes of Soft Sets in Soft Topological Spaces
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DOI: 10.3390/sym12020265
Abstract: In this paper, we define soft ω -open sets and strongly soft ω -open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we… read more here.
Keywords: topological spaces; open sets; classes soft; soft topological ... See more keywords