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81.
Kyeong-Hun Kim 《Journal of Theoretical Probability》2009,22(1):220-238
Stochastic partial differential equations of divergence form are considered on Lipschitz domains. Existence and uniqueness
results are given in weighted Sobolev spaces. It is allowed that the coefficients of the equations substantially oscillate
or blow up near the boundary.
相似文献
82.
lie Panafieu 《Random Structures and Algorithms》2019,55(2):427-495
We enumerate the connected graphs that contain a number of edges growing linearly with respect to the number of vertices. So far, only the first term of the asymptotics and a bound on the error were known. Using analytic combinatorics, that is, generating function manipulations, we derive a formula for the coefficients of the complete asymptotic expansion. The same result is derived for connected multigraphs. 相似文献
83.
Khalida Inayat Noor Mohammad Arif Wasim Ul-Haq 《Applied mathematics and computation》2009,215(2):629-635
In this paper, we define and study some subclasses of analytic functions by using fractional derivative operator. Some interesting properties, coefficients problems and inclusion results of these classes are investigated. It is also shown that these classes are closed under convolution with convex functions and some applications are given. 相似文献
84.
In this paper, we investigate local robust stability of static neural network (SNN) with S-type distributed delays. We derive some new sufficient conditions for local robust stability of equilibrium points and estimate attracting domains of equilibrium points except isolated equilibrium points. Our results not only show local robust stability of equilibrium points but also allow much broader application for static neural network with or without delays. It is shown that our results are new and improve corresponding results existing in the previous literature. 相似文献
85.
Bjrn Gustafsson Mihai Putinar Edward B. Saff Nikos Stylianopoulos 《Advances in Mathematics》2009,222(4):1405-1460
Growth estimates of complex orthogonal polynomials with respect to the area measure supported by a disjoint union of planar Jordan domains (called, in short, an archipelago) are obtained by a combination of methods of potential theory and rational approximation theory. The study of the asymptotic behavior of the roots of these polynomials reveals a surprisingly rich geometry, which reflects three characteristics: the relative position of an island in the archipelago, the analytic continuation picture of the Schwarz function of every individual boundary and the singular points of the exterior Green function. By way of explicit example, fine asymptotics are obtained for the lemniscate archipelago |zm−1|<rm, 0<r<1, which consists of m islands. The asymptotic analysis of the Christoffel functions associated to the same orthogonal polynomials leads to a very accurate reconstruction algorithm of the shape of the archipelago, knowing only finitely many of its power moments. This work naturally complements a 1969 study by H. Widom of Szegő orthogonal polynomials on an archipelago and the more recent asymptotic analysis of Bergman orthogonal polynomials unveiled by the last two authors and their collaborators. 相似文献
86.
Moha Boutat 《Bulletin des Sciences Mathématiques》2009,133(4):335-347
A result of F. Berteloot and G. Patrizio [F. Berteloot, G. Patrizio, A cartan theorem for proper holomorphic mappings of complete circular domains, Adv. Math. 153 (2000) 342-352] states that if f is a proper holomorphic map between two bounded complete circular domains Ω1 and Ω2 in Cn+1 (n?1), such that f−1{0}={0} and such that the principal part fp of the Taylor expansions of f at the origine is nondegenerated i.e. fp−1{0}={0}, then f=fp.Here, we give a partial extension of this result to the case where f is a nondegenerated proper holomorphic map between a quasi-circular domain Ω1 and a complete circular domain Ω2, which are pseudo-convex but not necessarily bounded.We show that if f and its principal part fp are nondegenerated at the origine, then fp−1(Ω2)=Ω1. 相似文献
87.
The concept of reachability domains of hybrid systems is described together with the use of ellipsoidal methods for calculation of such domains in the case when there are successive switchings on several given hyperplanes or bands. An algorithm for calculation of the reachability sets for a hybrid system that uses ellipsoidal approximations is given for the cases in which the switching sets are planes or bands. The parametrization of nonconvex reachability domains is obtained as a union of intersections of the corresponding ellipsoidal estimates. 相似文献
88.
89.
K. Y. Zhao H. R. Zeng X. W. Zhang K. Q. Xu H. Z. Yu G. R. Li H. S. Luo 《固体物理学:研究快报》2014,8(3):279-282
The 3ω ‐scanning thermal microscopy and piezoresponse force microscopy techniques were combined to characterize the local thermal conductivity (λ) of ferroelastic domains in [720]‐oriented and [001]‐oriented BaTiO3 single crystal. The [720]‐oriented BaTiO3 showed a local λ value of 3.39 W/m·K, while it was 5.95 W/m·K for [001]‐oriented BaTiO3. The underlying mechanism for such drastic thermal conductivity reduction in [720]‐oriented BaTiO3 is ascribed to a stronger phonon‐scattering effect due to the high strains appearing in [720]‐oriented BaTiO3 single crystals. (© 2014 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
90.
IntroductionWithcomplexityofthedynamicsofthehigher_dimensionaldissipativesystemsolitarywave ,thereismuchdifficultyinstudyingtheseproblems.Thepapers [1 ]~ [3]mentionedthetwo_dimensionalKdVequationsdrivenbyLaxand [3]obtainedtheexistenceofsolutiontotheequations… 相似文献