We consider a mixed finite element method for the Stokes problem in a polygonal domain Q cz U An inf-sup condition is established which fits into the abstract jramework oj Babuska and Brezzi Using hnear finite éléments, we obtain O{h*)-error estimâtes for the energy norm of the velocity and the L-norm of the pressure The exponent a only dépends on thegreatest intenor angle at a corner of Cl and...

The paper is a supplement to [2]. Let L be a lattice and U an o-symmetric convex body inR n. The Minkowski functional I[ I1~ of U, the polar body U ~ the dual lattice L*, the covering radius/z(L, U), and the successive minima ~.i(L, U), i = 1 . . . . . n, are defined in the usual way. Let 12, be the family of all lattices in R". Given a convex body U, we define mh(U) = sup max ~.i(L, U)~.n-i+l(...

The Open University's repository of research publications and other research outputs Breakup coupling effects on near-barrier ¡sup¿6¡/sup¿Li, ¡sup¿7¡/sup¿Be and ¡sup¿8¡/sup¿B + ¡sup¿58¡/sup¿Ni elastic scattering compared Journal Article Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Rese...

Abstract We consider the binary supremum function $$\sup :Z\times Z\rightarrow Z$$ sup : Z × → on a sup semilattice Z and its topological properties with respect to Scott topology product topology. It is well known that...

The bilinear maximal operator defined below maps Lp × Lq into Lr provided 1 < p, q < ∞, 1/p + 1/q = 1/r and 2/3 < r ≤ 1. Mfg(x) = sup t>0 1 2t ∫ t −t |f(x+ y)g(x− y)| dy. In particular Mfg is integrable if f and g are square integrable, answering a conjecture posed by Alberto Calderón. 1. Principal results In 1964 Alberto Calderón defined a family of maximal operators by Mfg(x) = sup t>0 1 2t ∫...

In this paper we consider the q-deformed totally asymmetric zero range process (q-TAZRP), also known as the q-boson (stochastic) particle system, on the Z lattice, such that the jump rate of a particle depends on the site where it is on the lattice. We derive the transition probability for an n particle process in Bethe ansatz form as a sum of n! n-fold contour integrals. Our result generalizes...

We consider the model of random surfaces with extrinsic curvature term embedded into 3d Euclidean lattice Z 3. On a 3d Euclidean lattice it has equivalent representation in terms of transfer matrix K(Q i , Q f), which describes the propagation of loops Q. We study the spectrum of the transfer matrix K(Q i , Q f) on finite dimensional lattices. The renormalisation group technique is used to inve...

This paper studies the behavior of sequences in the maximal ideal space of the algebra of bounded analytic functions on an arbitrary domain. The main result states that for any such sequence, either the sequence has an interpolating subsequence or infinitely many elements of the sequence lie in the same Gleason part. Introduction Fix a positive integer N and fix a nonempty open subset Q. of C ....