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An outer billard map F is dened outside a closed convex curve Γ in the following way. Let z be a point on the plane. Consider the supporting line L(z) from z to Γ such that Γ lies on the rig...
The dead-end depth of an element g of a group with finite generating set A is the distance from g to the complement of the radius d(1,g) closed ball, in the word metric d. We exhibit a finitely presen...
The dead-end depth of an element g of a group G with generating set A is the distance from g to the complement of the radius d(1,g) closed ball, in the word metric d defined with respect to A. We exhi...
In this article, we discuss that an oblique derivative boundary value problem for nonlinear uniformly elliptic complex equation of second order wz1z=F(z; w; w z ;wz; w zz ;wzz)+G(z; w; ; w z ;...
In this paper, we develop a coupling of natural boundary element method and 痭ite element method for solving the time-dependent eddy current problems in unbounded domains based on a H∶ formulation. T...
The present paper partly constitutes an "unbounded" follow-up of a paper by I. Kaplansky dealing with bounded products of normal operators. Results on the normality of unbounded products are also incl...
Let $A$ and $B$ be two -non necessarily bounded- normal operators. We give conditions making their product normal. This is a continuation of recently obtained results on this subject.
Online scheduling is a rapidly developed branch in scheduling theory. In the research of online scheduling, makespan minimization on unbounded parallel-batch machines is a fruitful area. In this paper...
Abstract The function space L^{p(x)}(Omega) with unbounded variable exponent, which generalizing the space L^{p(x)}(Omega) with bounded variable exponent, is investigated in this paper. We have define...
Abstract: Let $\Omega$ be either $\mathbb{R}^n$ or an unbounded strongly Lipschitz domain of $\mathbb{R}^n$, and $\Phi$ be a continuous, strictly increasing, subadditive and positive function on $(0,\...
Abstract: Under fairly general assumptions, we prove that every compact invariant set $\mathcal I$ of the semiflow generated by the semilinear damped wave equation u_{tt}+\alpha u_t+\beta(x)u-\Deltau ...
Abstract: The matrix KdV equation with a negative dispersion term is considered in the right upper quarter--plane. The evolution law is derived for the Weyl function of a corresponding auxiliary linea...
Abstract: A two-person zero-sum differential game with unbounded controls is considered. Under proper coercivity conditions, the upper and lower value functions are characterized as the unique viscosi...
The present paper is devoted to weighted Nonlinear Schrödinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, we prove the exi...

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