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251.
该文研究带耗散项的线性和半线性波动方程外问题. 首先利用一个Sobolev型不等式得到了线性耗散波动方程在外区域上的整体能量衰减估计, 此结果用来证明非线性项为|u|p (2
+) 的半线性波动方程解的整体存在性. 为此, 该文主要研究N维(3≤ N≤7)外区域上球对称解的情形. 相似文献
252.
设计优化了用于截断二维正方格子介质柱光子晶体波导的分布布拉格反射波导的结构.二维时域有限差分数值模拟结果显示,在上述两种波导联接处的反射系数可以在大部分光子晶体波导导波的频谱范围内降到1%以下.将这种分布布拉格反射波导和通常的吸收边界条件相结合可以构成用于光子晶体波导的吸收边界条件,其反射率可以降低到-40dB以下,吸收层的厚度可取为晶格长度的1.3倍.
关键词:
吸收边界条件
光子晶体波导
时域有限差分 相似文献
253.
Christodoulos Athanasiadis Gary F. Roach Ioannis G. Stratis 《Mathematische Nachrichten》2003,250(1):3-16
A time domain analysis of the equations governing wave propagation in an unbounded chiral medium is presented by a spectral family approach and by a direct eigenfunction expansion using Beltrami–Moses fields. 相似文献
254.
GINDIKIN Simon 《中国科学A辑(英文版)》2006,49(11):1655-1661
We discuss some problems on rigidity of canonical realizations of complex homogeneous domains at ℂn
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday 相似文献
255.
256.
John Michael Rassias Matina John Rassias 《Journal of Mathematical Analysis and Applications》2003,281(2):516-524
In 1941 Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 Bourgin was the second author to treat this problem for additive mappings. In 1982-1998 Rassias established the Hyers-Ulam stability of linear and nonlinear mappings. In 1983 Skof was the first author to solve the same problem on a restricted domain. In 1998 Jung investigated the Hyers-Ulam stability of more general mappings on restricted domains. In this paper we introduce additive mappings of two forms: of “Jensen” and “Jensen type,” and achieve the Ulam stability of these mappings on restricted domains. Finally, we apply our results to the asymptotic behavior of the functional equations of these types. 相似文献
257.
In this paper, we establish sharp two-sided estimates for the Green functions of non-symmetric diffusions with measure-valued drifts in bounded Lipschitz domains. As consequences of these estimates, we get a 3G type theorem and a conditional gauge theorem for these diffusions in bounded Lipschitz domains.Informally the Schrödinger-type operators we consider are of the form L+μ⋅∇+ν where L is a uniformly elliptic second order differential operator, μ is a vector-valued signed measure belonging to Kd,1 and ν is a signed measure belonging to Kd,2. In this paper, we establish two-sided estimates for the heat kernels of Schrödinger-type operators in bounded C1,1-domains and a scale invariant boundary Harnack principle for the positive harmonic functions with respect to Schrödinger-type operators in bounded Lipschitz domains. 相似文献
258.
Potential Analysis - Assume that a bounded domain Ω??N (N ≥ 2) has the property that there exists a signed measure µ with compact support in Ω such that, for every... 相似文献
259.
C. -H. Lai 《Applied Mathematical Modelling》1992,16(12):638-644
For diffusion-dominated steady flows, classical second-order methods are usually used. A large number of iterations, and hence a long computing time, is required to solve the set of discretized equations using an iterative method. On the other hand, a direct solver is degraded because of the accumulation of round- off errors. For convection-dominated flows, first-order upwinding has been used over the past few decades but suffered from severe inaccuracy. In this paper we first discuss the accuracy improvement of solving a diffusion equation by shooting methods. We manage to achieve the theoretical order of accuracy as the mesh size decreases as far as single-precision arithmetic is concerned. We then discuss an application to the interface coupling of subproblems in the context of domain decomposition methods. Finally, we discuss high-order nonoscillatory solutions of a convection-diffusion equation based on shooting methods. 相似文献
260.
Inrecentyears,thequestionsofexistence,uniquenessandmultiplicityofsolutionstothe.problemhasbeenmuchinvestigated(see[l-ll]).WhereOisasmoothboundedregioninRN,N23and6istheLaplacianoperator.Thesolvabilityofboundaryvalueproblemdependsonthegrowthofthenonlinearityf(u)andontheregion,boundedorunbounded,unitballoranyotherregions.Wesaythatfunctionf(u)growssubcriticallyifthereexistsqe(l,'(N 2)/(N-2))suchthatliT32PIf(u)l/lulq相似文献