共查询到20条相似文献,搜索用时 31 毫秒
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We investigate the regularity of random attractors for the non-autonomous non-local fractional stochastic reaction–diffusion equations in with . We prove the existence and uniqueness of the tempered random attractor that is compact in and attracts all tempered random subsets of with respect to the norm of . The main difficulty is to show the pullback asymptotic compactness of solutions in due to the noncompactness of Sobolev embeddings on unbounded domains and the almost sure nondifferentiability of the sample paths of the Wiener process. We establish such compactness by the ideas of uniform tail-estimates and the spectral decomposition of solutions in bounded domains. 相似文献
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Dennis I. Merino 《Linear algebra and its applications》2012,436(7):1960-1968
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Let V be a 6-dimensional vector space over a field , let f be a nondegenerate alternating bilinear form on V and let denote the symplectic group associated with . The group has a natural action on the third exterior power of V and this action defines five families of nonzero trivectors of V. Four of these families are orbits for any choice of the field . The orbits of the fifth family are in one-to-one correspondence with the quadratic extensions of that are contained in a fixed algebraic closure of . In this paper, we divide the orbits corresponding to the separable quadratic extensions into suborbits for the action of on . 相似文献
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Soojung Kim 《Journal of Differential Equations》2018,264(3):1613-1660
We study viscosity solutions to degenerate and singular elliptic equations of p-Laplacian type on Riemannian manifolds, where an even function is supposed to be strictly convex on . Under the assumption that either or its convex conjugate with some structural condition, we establish a (locally) uniform ABP type estimate and the Krylov–Safonov type Harnack inequality on Riemannian manifolds with the use of an intrinsic geometric quantity to the operator. Here, the -regularities of F and account for degenerate and singular operators, respectively. 相似文献
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Seung-Jo Jung 《Journal of Pure and Applied Algebra》2018,222(7):1579-1605
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Gábor Korchmáros Maria Montanucci Pietro Speziali 《Journal of Pure and Applied Algebra》2018,222(7):1810-1826
Let be the algebraic closure of a finite field of odd characteristic p. For a positive integer m prime to p, let be the transcendence degree 1 function field defined by . Let and . The extension is a non-Galois extension. Let K be the Galois closure of F with respect to H. By Stichtenoth [20], K has genus , p-rank (Hasse–Witt invariant) and a -automorphism group of order at least . In this paper we prove that this subgroup is the full -automorphism group of K; more precisely where Δ is an elementary abelian p-group of order and D has an index 2 cyclic subgroup of order . In particular, , and if K is ordinary (i.e. ) then . On the other hand, if G is a solvable subgroup of the -automorphism group of an ordinary, transcendence degree 1 function field L of genus defined over , then ; see [15]. This shows that K hits this bound up to the constant .Since has several subgroups, the fixed subfield of such a subgroup N may happen to have many automorphisms provided that the normalizer of N in is large enough. This possibility is worked out for subgroups of Δ. 相似文献
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In this paper, we prove that if Ω is a bounded convex domain in , , and S is an affine complex hyperplane such that is not empty, then is not Gromov hyperbolic with respect to the Kobayashi distance. Next, we show that if X is a bounded convex domain in , then is not Gromov hyperbolic, where φ is a strictly plurisubaharmonic function on X continuous up to . 相似文献
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