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961.
徐龙封 《高校应用数学学报(英文版)》2002,17(1):48-56
In this paper, the classical and weak derivatives with respect to spatial variable of a class of hysteresis functional are discussed. Some conclusions about solutions of a class of reaction-diffusion equations with hysteresis differential operator are given. 相似文献
962.
Yu E. Karpeshina 《Proceedings Mathematical Sciences》2002,112(1):117-130
We consider a matrix operatorH = (-Δ)l +V inR
n, wheren ≥ 2,l ≥ 1, 4l > n + 1, andV is the operator of multiplication by a periodic inx matrixV(x). We study spectral properties ofH in the high energy region. Asymptotic formulae for Bloch eigenvalues and the corresponding spectral projections are constructed.
The Bethe-Sommerfeld conjecture, stating that the spectrum ofH can have only a finite number of gaps, is proved. 相似文献
963.
对有规范条件或约束的非线性理论,研究了其驻点的Hessian形式.指出了规范场的经典解的稳定性由包含拉格朗日乘子贡献的有效拉氏量的二阶变分决定. 相似文献
964.
965.
Han Liubing 《数学季刊》1996,(1)
FM Space Depend on Operator T and the Normal Solvability of Operator Polynomial P(T)FMSpaceDependonOperatorTandtheNormalSolva... 相似文献
966.
A. I. Karol 《Mathematical Notes》1998,63(1):25-32
We construct the asymptotics ast→0 of the trace of the operator exp(−tP) for an elliptic operatorP on a manifold with conical points.
Translated fromMatematicheskie Zametki, Vol. 63, No. 1, pp. 28–36, January, 1998.
This research was supported by the Belarus Foundation for Basic Research under grant No. 96-01 00790. 相似文献
967.
We obtain a central limit theorem for a general class of additive parameters (costs, observables) associated to three standard Euclidean algorithms, with optimal speed of convergence. We also provide very precise asymptotic estimates and error terms for the mean and variance of such parameters. For costs that are lattice (including the number of steps), we go further and establish a local limit theorem, with optimal speed of convergence. We view an algorithm as a dynamical system restricted to rational inputs, and combine tools imported from dynamics, such as transfer operators, with various other techniques: Dirichlet series, Perron's formula, quasi-powers theorems, and the saddle-point method. Such dynamical analyses had previously been used to perform the average-case analysis of algorithms. For the present (dynamical) analysis in distribution, we require estimates on transfer operators when a parameter varies along vertical lines in the complex plane. To prove them, we adapt techniques introduced recently by Dolgopyat in the context of continuous-time dynamics (Ann. Math. 147 (1998) 357). 相似文献
968.
Based on a seperated model for saddle-point problems, we develop a new sta-bilized mixed finite element method. Such a model consists of two subproblems with respect to the primal and the dual variables, respectively. We show that the new method is coercive and that optimal error bounds hold. As an application,the nearly incompressible elastic problem is analyzed with our method. 相似文献
969.
J.L. Martínez‐Morales 《Annalen der Physik》2006,15(9):653-662
Properties of the eigentensors of the Lichnerowicz Laplacian for the Euclidean Schwarzschild metric are discussed together with possible applications to the linear stability of higher‐dimensional instantons. The main statement of the article is that any eigentensor of the Lichnerowicz operator in a Euclidean (possibly higher‐dimensional) Schwarzschild metric is essentially singular at infinity. 相似文献
970.