共查询到20条相似文献,搜索用时 125 毫秒
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Neil J.Y. Fan Peter L. Guo Grace L.D. Zhang 《Journal of Pure and Applied Algebra》2017,221(1):237-250
Parabolic R-polynomials were introduced by Deodhar as parabolic analogues of ordinary R-polynomials defined by Kazhdan and Lusztig. In this paper, we are concerned with the computation of parabolic R-polynomials for the symmetric group. Let be the symmetric group on , and let be the generating set of , where for , is the adjacent transposition. For a subset , let be the parabolic subgroup generated by J, and let be the set of minimal coset representatives for . For in the Bruhat order and , let denote the parabolic R-polynomial indexed by u and v. Brenti found a formula for when , and obtained an expression for when . In this paper, we provide a formula for , where and i appears after in v. It should be noted that the condition that i appears after in v is equivalent to that v is a permutation in . We also pose a conjecture for , where with and v is a permutation in . 相似文献
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《Discrete Mathematics》2007,307(19-20):2400-2414
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A. Jänig 《Journal of Differential Equations》2018,264(9):5713-5733
We consider asymptotically autonomous semilinear parabolic equations Suppose that as , where the semiflows induced by
(*)
are gradient-like. Under certain assumptions, it is shown that generically with respect to a perturbation g with as , every solution of is a connection between equilibria of (*) with . Moreover, if the Morse indices satisfy , then u is isolated by linearization. 相似文献
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《Nonlinear Analysis: Real World Applications》2007,8(4):1040-1061
We consider the following model that describes the dynamics of epidemics in homogeneous/heterogeneous populations as well as the spreading of multiple inter-related infectious diseases:Our aim is to establish criteria such that the above system has one or multiple constant-sign periodic solutions , i.e., for each , is periodic and where is fixed. Examples are also included to illustrate the results obtained. 相似文献
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《Discrete Mathematics》2007,307(7-8):916-922
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Michael Winkler 《Journal of Differential Equations》2018,264(3):2310-2350
The chemotaxis system is considered under homogeneous Neumann boundary conditions in the ball , where and .Despite its great relevance as a model for the spontaneous emergence of spatial structures in populations of primitive bacteria, since its introduction by Keller and Segel in 1971 this system has been lacking a satisfactory theory even at the level of the basic questions from the context of well-posedness; global existence results in the literature are restricted to spatially one- or two-dimensional cases so far, or alternatively require certain smallness hypotheses on the initial data.For all suitably regular and radially symmetric initial data satisfying and , the present paper establishes the existence of a globally defined pair of radially symmetric functions which are continuous in and smooth in , and which solve the corresponding initial-boundary value problem for (?) with in an appropriate generalized sense. To the best of our knowledge, this in particular provides the first result on global existence for the three-dimensional version of (?) involving arbitrarily large initial data. 相似文献
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Wei Han 《Journal of Mathematical Analysis and Applications》2012,387(1):291-309
This paper is devoted to studying the initial–boundary value problem for one dimensional general quasilinear wave equations on exterior domain. We obtain the sharp lower bound of the life-span of classical solutions to the initial–boundary value problem with small initial data and zero boundary data for one dimensional general quasilinear wave equations. 相似文献
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Anuj Jakhar Sudesh K. Khanduja Neeraj Sangwan 《Journal of Pure and Applied Algebra》2018,222(4):889-899
Let v be a Krull valuation of a field with valuation ring . Let θ be a root of an irreducible trinomial belonging to . In this paper, we give necessary and sufficient conditions involving only for to be integrally closed. In the particular case when v is the p-adic valuation of the field of rational numbers, and , then it is shown that these conditions lead to the characterization of primes which divide the index of the subgroup in , where is the ring of algebraic integers of K. As an application, it is deduced that for any algebraic number field K and any quadratic field L not contained in K, we have if and only if the discriminants of K and L are coprime. 相似文献
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A Steiner 2- trade is a pair of disjoint partial Steiner triple systems, each on the same set of points, such that each pair of points occurs in if and only if it occurs in . A Steiner 2- trade is called d-homogeneous if each point occurs in exactly d blocks of (or ). In this paper we construct minimal d-homogeneous Steiner 2- trades of foundation and volume for sufficiently large values of . (Specifically, if is divisible by 3 and otherwise.) 相似文献
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