排序方式: 共有13条查询结果,搜索用时 15 毫秒
1.
Kopaliani Tengiz 《Analysis Mathematica》2004,30(3):193-205
Let X be a Banach space, L
([0,1])XL
1([0,1]), with an unconditional basis. By the well-known stability property in X, there exists a unconditional basis {f
n}
m=1
, where f
n in C([0,1]), nN. In this paper, we introduce the notion that X
*has the singularity property of X
*at a point t
0[0,1]. It is proved that if X
*has the singularity property at a point t
0 [0,1], then there exists no orthonormal, fundamental system in C([0,1]) which forms an unconditional basis in X. 相似文献
2.
If ${p(\cdot): \mathbb{R}^{n} {\rightarrow} (0,\infty), n\geq 3}$ , is globally log-Hölder continuous and its infimum p ? and its supremum p + are such that ${\frac{n}{n-1} < p^{-} \leq p^{+} < p^{-} (n-1)}$ , then the spherical maximal operator (integral averages taken with respect to the (n ? 1)-dimensional surface measure) is bounded. When n = 3, the result is then interpreted as the preservation of the integrability properties of the initial velocity of propagation to the solution of the initial-value problem for the wave equation. 相似文献
3.
Sophio Kobauri Giuli Otinashvili Tengiz Kantaria David Tugushi Darejan Kharadze Nazi Kutsiava 《高分子科学杂志,A辑:纯化学与应用化学》2013,50(10):677-690
AbstractThree new classes of the amino acid based biodegradable (AABB) polymers were synthesized via step growth polymerization of bis-azlactones and amino acid based diamine-diesters with activated fatty diester and alkylenediamine: a) poly(ester amide)s (PEAs) were obtained by polymerization of bis-azlactones with diamine-diesters, b) hydrophobically modified co-poly(ester amide)s (co-PEAs) were synthesized by copolymerization of activated fatty diacid diester and bis-azlactones with diamine-diesters, and c) poly(ester amide-co-amide)s (PEA-co-PAs) were obtained by copolymerization of alkylene diamine and diamine-diesters with bis-azlactones. The new poly(ester amide)s showed relatively low-molecular-weights (Mw within 2,800–19,600?Da, GPC in DMF), whereas the new co-poly(ester amide)s and poly(ester amide-co-amide)s exhibited high-molecular-weights (Mw within 40–100?kDa) leading to good mechanical properties. Incorporation of the bis-azlactone fragments into the poly(ester amide)s backbone increased hydrophobicity and thermal stability, whereas incorporation of diamine-diester units into the backbone of the bis-azlactone based polyamides rendered them biodegradable. Synthesized AABB polymers are potential candidates for constructing resorbable surgical and pharmaceutical devices. 相似文献
4.
We consider problems of computing the Poisson integral when the point at which the integral is evaluated approaches the ball surface. Techniques are proposed enabling one to improve the computation efficiency. 相似文献
5.
We investigate asymptotic properties of solutions to mixed boundary value problems of thermopiezoelectricity (thermoelectroelasticity)
for homogeneous anisotropic solids with interior cracks. Using the potential methods and theory of pseudodifferential equations
on manifolds with boundary we prove the existence and uniqueness of solutions. The singularities and asymptotic behaviour
of the mechanical, thermal and electric fields are analysed near the crack edges and near the curves, where the types of boundary
conditions change. In particular, for some important classes of anisotropic media we derive explicit expressions for the corresponding
stress singularity exponents and demonstrate their dependence on the material parameters. The questions related to the so
called oscillating singularities are treated in detail as well.
This research was supported by the Georgian National Science Foundation grant GNSF/ST07/3-170 and by the German Research Foundation
grant DFG 436 GEO113/8/0-1. 相似文献
6.
T. Buchukuri O. Chkadua D. Natroshvili A.‐M. Sändig 《Mathematische Nachrichten》2009,282(8):1079-1110
We investigate three‐dimensional transmission problems related to the interaction of metallic and piezoelectric ceramic bodies. We give a mathematical formulation of the physical problem when the metallic and ceramic sub‐domains are bonded along some proper parts of their boundaries. The corresponding nonclassical mixed boundary‐transmission problem is reduced by the potential method to an equivalent nonselfadjoint strongly elliptic system of pseudo‐differential equations on manifolds with boundary. We investigate the solvability of this system in different function spaces. On the basis of these results we prove uniqueness and existence theorems for the original boundary‐transmission problem. We study also the regularity of the electrical and mechanical fields near the curves where the boundary conditions change and where the interfaces intersect the exterior boundary. The electrical and mechanical fields can be decomposed into singular and more regular terms near these curves. A power of the distance from a reference point to the corresponding edge‐curves occurs in the singular terms and describes the regularity explicitly. We compute these complex‐valued exponents and demonstrate their dependence on the material parameters (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
7.
Tengiz Kopaliani 《Journal of Functional Analysis》2009,257(11):3541-3551
When Hardy-Littlewood maximal operator is bounded on Lp(⋅)(Rn) space we prove θ[Lp(⋅)(Rn),BMO(Rn)]=Lq(⋅)(Rn) where q(⋅)=p(⋅)/(1−θ) and θ[Lp(⋅)(Rn),H1(Rn)]=Lq(⋅)(Rn) where 1/q(⋅)=θ+(1−θ)/p(⋅). 相似文献
8.
We investigate the solutions of boundary value problems of linear electroelasticity, having growth as a power function in
the neighborhood of infinity or in the neighborhood of an isolated singular point. The number of linearly independent solutions
of this type is established for homogeneous boundary value problems. 相似文献
9.
Tengiz Kopaliani George Chelidze 《Journal of Mathematical Analysis and Applications》2009,356(1):232-817
We prove analogies of the classical Gagliardo-Nirenberg inequalities
10.
Two-dimensional boundary value problems of flow of a viscous micropolar fluid are investigated in the case of linearization by Oseen's method. 相似文献