As well known, the Moreau-Rockafellar-Robinson internal point qualification condition is sufficient to ensure that the infimal convolution of the conjugates of two extended-real-valued convex lower semi-continuous functions defined on a locally convex space is exact, and that the subdifferential of the sum of these functions is the sum of their subdifferentials. This note is devoted to proving ...

The Vlasov–Poisson system models a collisionless plasma. In bounded domain it is known that singularities can occur. Existence of global in time continuous solutions to the proven one-dimensional domain, with direct reflection boundary conditions and initial data even respect v-variable. Local uniqueness proven. Generalized characteristics are used. Electroneutrality obtained limit.

The present paper shows that the closure of bounded control set a linear system contains all orbits system. As consequence, we prove this is continuous image cartesian product functions by central subgroup associated with drift

Abstract The two weighted graph problems Node Multiway Cut (NMC) and Subset Feedback Vertex Set (SFVS) both ask for a vertex set of minimum total weight, that NMC disconnects given terminals, SFVS intersects all cycles containing set. We design meta-algorithm allows to solve in time $$2^{O(rw^3)}\cdot n^{4}$$ <mml:m...

The main result of this paper is the following: Any language in ESPACE that is bounded truthtable reducible in polynomial time to a set with very high space-bounded Kolmogorov complexity must be bounded truth-table reducible in polynomial time to a sparse set.

the notion of generalized locally bounded $i$-topological vectorspaces is introduced. some of their important properties arestudied. the relationship between this kind of spaces and thelocally bounded $i$-topological vector spaces introduced by wu andfang [boundedness and locally bounded fuzzy topological vectorspaces, fuzzy math. 5 (4) (1985) 87$-$94] is discussed. moreover, wealso use the fam...