In this paper, the robustness of the n/2/P/C_(mɑx) scheduling problem is studied by using a property of Abelian semi-group which containing identity element on the real number set R~+.
In this paper,the robustness of the n/m/P/C_ max[ω] scheduling problem is studied by using a property of Abelian semi-group which containing identity element on the real number set R.
The discrete approach is formulated abstractly in terms of the action of a semidirect product A×Γ on ?2(Γ), with Γ a lattice and A an abelian semigroup acting of Γ.
In this paper, we establish maximal Lp-Lq estimates for non-autonomous parabolic equations of the type u'(t)+A(t)u(t)=f(t), u(0)=0 under suitable conditions on the kernels of the semigroups generated by the operators -A(t), t∈[0,T].
In this paper, by using the theory of semigroup and spectrum, a computation formula on the growth order of one class ofC0-semigroups in Banach space is proved.
This new type of inequality not only implies heat kernel bounds as the classical Li-Yau's Harnack inequality did, but also provides a direct way to describe various dimension-free properties of finite and infinite-dimensional diffusion semigroups.
In this paper, by using the theory of semigroup and spectrum, a computation formula on the growth order of one class ofC0-semigroups in Banach space is proved.
An infinite set of semigroup identities is described, and it is proved that no member of the set is an inference of the set consisting of all other identities of the complete original set.