lower semicontinuity

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• Hemicontinuity — In mathematics, the concept of continuity as it is defined for single valued functions is not immediately extendible to multi valued mappings or correspondences. In order to derive a more generalized definition, the dual concepts of upper… …   Wikipedia

• Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… …   Wikipedia

• Czesław Olech — Born May 22, 1931 (1931 05 22) (age 80) Pińczów, Poland Nationality Polish …   Wikipedia

• Tonelli's theorem (functional analysis) — In mathematics, Tonelli s theorem in functional analysis is a fundamental result on the weak lower semicontinuity of nonlinear functionals on L p spaces. As such, it has major implications for functional analysis and the calculus of variations.… …   Wikipedia

• Tonelli's theorem — In mathematics, Tonelli s theorem may refer to* Tonelli s theorem in measure theory, a successor of Fubini s theorem; * Tonelli s theorem in functional analysis, a fundamental result on the weak lower semicontinuity of nonlinear functionals on L… …   Wikipedia

• Vladimír Šverák — (* 1959) ist ein tschechischer Mathematiker. Leben Šverák promovierte 1986 an der Karls Universität Prag bei Jindřich Nečas über Probleme der Variationsrechnung in nichtlinearer Elastizitätstheorie. Danach war er Professor an der Karls… …   Deutsch Wikipedia

• Semi-continuity — For the notion of upper or lower semicontinuous multivalued function see: Hemicontinuity In mathematical analysis, semi continuity (or semicontinuity) is a property of extended real valued functions that is weaker than continuity. A extended real …   Wikipedia

• semicontinuous — adjective (of a function) That it is continuous almost everywhere, except at certain points at which it is either upper semi continuous or lower semi continuous. See Also: semicontinuity, hemicontinuous …   Wiktionary