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951.
952.
Attempting to model the processes resulting in complex pattern formation and small-scale roughness of surfaces and to compare
with experimental measurements calls for numerical methods which allow a quantitative characterization being as complete as
possible. New methods incorporating wavelets and stochastic approaches based on the theory of Markov processes allow a stepwise
characterization of increasing completeness and unambiguousness. In this paper we demonstrate the underlying numerical approaches
taking electropolished and laser-jet etched surfaces for demonstration. 相似文献
953.
This issue contains papers selected from the contributions presented at the 5th International Conference on “Applications of Physics in Financial Analysis” (APFA5) held in Torino from June 29th to July 1st, 2006 (http://www.polito.it/apfa5). The issue collects recent applications of models and methods of statistical physics to economic problems. This interdisciplinary field of research, known as Econophysics, has seen intensive growth over the last decade. The challenge for econophysicists will be to go beyond the traditional views of economics and physics unifying the separate lines of development followed by the two disciplines over great part of the 20th century.“The conventional view serves to protect us from the painful job of thinking”, John Kenneth Galbraith (1908-2006). 相似文献
954.
N.E. Barabanov 《Linear algebra and its applications》2008,428(10):2357-2367
Asymptotic properties of extremal solutions of linear inclusions of order three with zero Lyapunov exponent are investigated. Under certain conditions it is shown that all extremal solutions of such inclusions tend to the same (up to a multiplicative factor) solution, which is central symmetric. The structure of the convex set of extremal norm is studied. A number of extremal points of this set are described. 相似文献
955.
Aleš Nekvinda 《Journal of Mathematical Analysis and Applications》2008,337(2):1345-1365
We study general Lebesgue spaces with variable exponent p. It is known that the classes L and N of functions p are such that the Hardy-Littlewood maximal operator is bounded on them provided p∈L∩P. The class L governs local properties of p and N governs the behavior of p at infinity.In this paper we focus on the properties of p near infinity. We extend the class N to a collection D of functions p such that the Hardy-Littlewood maximal operator is bounded on the corresponding variable Lebesgue spaces provided p∈L∩D and the class D is essentially larger than N.Moreover, the condition p∈D is quite easily verifiable in the practice. 相似文献
956.
黄丽容 《应用泛函分析学报》2006,8(4):319-323
通过对偶变分方法证明了一个带Hardy项和临界非线性的非线性椭圆方程的非平凡解的存在性和多重性. 相似文献
957.
J. Chabrowski 《Annali di Matematica Pura ed Applicata》2007,186(4):703-719
In this paper we investigate the solvability of the nonlinear Neumann problem (1.1) with indefinite weight functions and a
critical Hardy–Sobolev nonlinearity. We examine the common effect of the shape of the graph of a weight function and the mean
curvature of the boundary on the existence of solutions of problem (1.1). We also investigate the regularity of solutions.
相似文献
958.
Eiichi Nakai 《数学学报(英文版)》2008,24(8):1243-1268
Let X = (X, d,μ) The purpose of this paper is to be a space of homogeneous type in the sense of Coifman and Weiss. generalize the definition of Hardy space H^P(X) and prove that the generalized Hardy spaces have the same property as H^P(X). Our definition includes a kind of Hardy- Orlicz spaces and a kind of Hardy spaces with variable exponent. The results are new even for the R^n case. Let (X, δ, μ) be the normalized space of (X, d, μ) in the sense of Macias and Segovia. We also study the relations of our function spaces for (X, d, μ) and (X, δ,μ). 相似文献
959.
We analyze self-similar solutions to a nonlinear fractional diffusion equation and fractional Burgers/Korteweg–deVries equation in one spatial variable. By using Lie-group scaling transformation, we determined the similarity solutions. After the introduction of the similarity variables, both problems are reduced to ordinary nonlinear fractional differential equations. In two special cases exact solutions to the ordinary fractional differential equation, which is derived from the diffusion equation, are presented. In several other cases the ordinary fractional differential equations are solved numerically, for several values of governing parameters. In formulating the numerical procedure, we use special representation of a fractional derivative that is recently obtained. 相似文献
960.
In this paper, a second order linear differential equation is considered, and an accurate estimate method of characteristic exponent for it is presented. Finally, we give some examples to verify the feasibility of our result. 相似文献