We show that there are many sets in the boundary of a bounded symmetric domain determine values and norm holomorphic functions on having continuous extensions to boundary. provide an analogue Bergmann-Shilov for finite rank JB*-triples.

In this paper we introduce a method that allows one to prove uniform local results for one-dimensional discrete Schrödinger operators with Sturmian potentials. We apply this method to the transfer matrices in order to study the Lyapunov exponent and the growth rate of eigenfunctions. This gives uniform vanishing of the Lyapunov exponent on the spectrum for all irrational rotation numbers. For i...

We analyze in this paper the stability of two types of timed-token rings: the existing Fiber Distributed Data Interface (FDDI) token ring protocol, and a new variant of the FDDI that we propose. The FDDI supports two classes of traac: synchronous and asynchronous. The time constraint mechanism of FDDI guarantees the transmission delay of synchronous traac: a Target Token Rotation Time (TTRT) be...

Consider the problem −∆u = v 2 N−2 , v > 0 in Ω, −∆v = u, u > 0 in Ω, u = v = 0 on ∂Ω, where Ω is a bounded convex domain in R , N > 2, with smooth boundary ∂Ω. We study the asymptotic behaviour of the least energy solutions of this system as p → ∞. We show that the solution remain bounded for p large and have one or two peaks away form the boundary. When one peak occurs we characterize its loc...

We consider a stationary Schrödinger-Poisson system on a bounded interval of the real axis. The Schrödinger operator is defined on the bounded domain with transparent boundary conditions. This allows to model a non-zero current flow trough the boundary of the interval. We prove that the system always admits a solution and give explicit a priori estimates for the solutions. 2000 Mathematics Subj...

Finite difference approximations of the second derivative in space appearing in, parabolic, incompletely parabolic systems of, and second order hyperbolic, partial differential equations are considered. If the solution is pointwise bounded, we prove that finite difference approximations of those classes of equations can be closed with two orders less accuracy at the boundary without reducing th...

Assume that Ω is a bounded domain in Rn with n ≥ 2. We study positive solutions to the problem, ∆u = up in Ω, u(x)→∞ as x→ ∂Ω, where p > 1. Such solutions are called boundary blow-up solutions of ∆u = up. We show that a boundary blow-up solution exists in any bounded domain if 1 < p < n n−2 . In particular, when n = 2, there exists a boundary blow-up solution to ∆u = up for all p ∈ (1,∞). We al...