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991.
Paweł Konieczny 《Mathematical Methods in the Applied Sciences》2009,32(15):1929-1963
We construct Lp‐estimates for the inhomogeneous Oseen system studied in a two‐dimensional exterior domain Ω with inhomogeneous slip boundary conditions. The kernel of the paper is a result for the half space ?. Analysis of this model system shows us a parabolic character of the studied problem, resulting as an appearance of the wake region behind the obstacle. Main tools are given by the Fourier analysis to obtain the maximal regularity estimates. The results imply the solvability for the Navier–Stokes system for small velocity at infinity. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
992.
M. Vaičiulis 《Lithuanian Mathematical Journal》2009,49(2):222-233
In this paper, we introduce an increment ratio statistic (IR
N,m
) based estimator for estimation of the tail index of a heavy-tailed distribution. For i.i.d. observations depending on the
zone of attraction of an α-stable law (0 < α < 2), the IR
N,m
statistic converges to a decreasing function L(α) as both the sample size N and bandwidth parameter m tend to infinity. We obtain a rate of decay of the bias EIR
N,m
−L(α) and mean square error E(IR
N,m
−L(α))2. A central limit theorem (IR
N,m
−EIR
N,m
)⟹ (0,σ2(α)) is also obtained. Monte Carlo simulations show that our tail index estimator has quite good empirical mean square error
and, unlike the Hill estimator, is not so sensitive to a change of bandwidth parameter m.
The research was partially supported by the Lithuanian State Science and Studies Foundation, grant No. T-25/08. 相似文献
993.
In this paper, we will study the differentiability on the boundary of solutions of elliptic non-divergence differential equations on convex domains. The results are divided into two cases: (i) at the boundary points where the blow-up of the domain is not the half-space, if the boundary function is differentiable then the solution is differentiable; (ii) at the boundary points where the blow-up of the domain is the half-space, the differentiability of the solution needs an extra Dini condition for the boundary function. Counterexample is given to show that our results are optimal. 相似文献
994.
We establish a criterion for the existence of the essential spectrum for the elasticity problem in the case the traction-free surface of a finite elastic body has a beak-shaped irregularity (see Corollary 3.5 and Theorem 4.2). This boundary irregularity is angular in two dimensions and cuspidal in one dimension. We obtain further information on the spectral structure in some particular cases, and formulate open questions and hypotheses. 相似文献
995.
Raymond Mortini 《Monatshefte für Mathematik》2009,158(1):81-95
We characterize those sequences (x
n
) in the spectrum of H
∞ whose Nevanlinna–Pick interpolation problems admit thin Blaschke products as solutions. We also study under which conditions
there is a Blaschke product B with prescribed zero-set distribution and solving problems of the form B(x) = f
n
(x) for every x ∈ P(x
n
), where P(x
n
) is the Gleason part associated with the point x
n
and where (f
n
) is an arbitrary sequence of functions in the unit ball of H
∞. As a corollary we get a new characterization of Carleson–Newman Blaschke products in terms of bounded universal functions,
a result first proved by Gallardo and Gorkin.
相似文献
996.
We wish to study the problem of bumping outwards a pseudoconvex, finite-type domain in such a way that pseudoconvexity is preserved and such that the lowest possible orders of contact of the bumped domain
with ∂Ω, at the site of the bumping, are explicitly realised. Generally, when , the known methods lead to bumpings with high orders of contact—which are not explicitly known either—at the site of the
bumping. Precise orders are known for h-extendible/semiregular domains. This paper is motivated by certain families of non-semiregular domains in . These families are identified by the behaviour of the least-weight plurisubharmonic polynomial in the Catlin normal form.
Accordingly, we study how to perturb certain homogeneous plurisubharmonic polynomials without destroying plurisubharmonicity.
The first-named author is supported by a grant from the UGC under DSA-SAP, Phase IV. 相似文献
997.
Li-Ping Huang 《Geometriae Dedicata》2009,138(1):1-12
Let R, S be Bezout domains. Assume that n is an integer ≥ 3, 1 ≤ k ≤ n − 2. Denoted by the k-dimensional Grassmann space on . Let be a map. This paper proves the following are equivalent: (i) is an adjacency preserving bijection in both directions. (ii) is a diameter preserving bijection in both directions. Moreover, Chow’s theorem on Grassmann spaces over division rings is
extended to the case of Bezout domains: If is an adjacency preserving bijection in both directions, then is induced by either a collineation or the duality of a collineation.
Project 10671026 supported by National Natural Science Foundation of China. 相似文献
998.
There exist many characterizations of Noetherian Cohen–Macaulay rings in the literature. These characterizations do not remain equivalent if we drop the Noetherian assumption. The aim of this paper is to provide some comparisons between some of these characterizations in non-Noetherian case. Toward solving a conjecture posed by Glaz, we give a generalization of the Hochster–Eagon result on Cohen–Macaulayness of invariant rings, in the context of non-Noetherian rings. 相似文献
999.
Let R be a unital semi-simple commutative complex Banach algebra, and let M(R) denote its maximal ideal space, equipped with the Gelfand topology. Sufficient topological conditions are given on M(R) for R to be a projective free ring, that is, a ring in which every finitely generated projective R-module is free. Several examples are included, notably the Hardy algebra H∞(X) of bounded holomorphic functions on a Riemann surface of finite type, and also some algebras of stable transfer functions arising in control theory. 相似文献
1000.
We examine the reduction process of a system of second-order ordinary differential equations which is invariant under a Lie
group action. With the aid of connection theory, we explain why the associated vector field decomposes in three parts and
we show how the integral curves of the original system can be reconstructed from the reduced dynamics. An illustrative example
confirms the results.
相似文献