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41.
Pao-Liu Chow 《随机分析与应用》2013,31(5):737-754
The paper is concerned with solutions of a multi–dimensional wave equation perturbed by a spatially dependent white noise. A spherical mean representation of the solutions is given. Based on such a representation, the regularity properties of the classical and generalized solutions are studied.The dependence of the solution regularity on the smoothness of the noise and the spatial dimension is determined. 相似文献
42.
Mohammed Tesemma 《代数通讯》2013,41(7):2258-2274
This article focuses on two recent results on multiplicative invariants of finite reflection groups: Lorenz (2001) showed that such invariants are affine normal semigroup algebras, and Reichstein (2003) proved that the invariants have a finite SAGBI basis. Reichstein (2003) also showed that, conversely, if the multiplicative invariant algebra of a finite group G has a SAGBI basis, then G acts as a reflection group. There is no obvious connection between these two results. We will show that multiplicative invariants of finite reflection groups have a certain embedding property that implies both results simultaneously. 相似文献
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In this work, we study the stability of the solution semigroup for some linear partial functional differential equations with infinite delay in a Banach space when the exponential stability fails. We use the so-called characteristic equation to compute the order of each pole of the resolvent operator associated with the infinitesimal generator of the solution semigroup. This result allows us to give sufficient conditions for having stability of the solution semigroup. 相似文献
45.
Norman R. Reilly 《Semigroup Forum》2009,78(1):157-182
It is shown that, within the class of Rees-Sushkevich varieties that are generated by completely (0-) simple semigroups over
groups of exponent dividing n, there is a hierarchy of varieties determined by the lengths of the products of idempotents that will, if they fall into
a group ℋ-class, be idempotent. Moreover, the lattice of varieties generated by completely (0-) simple semigroups over groups
of exponent dividing n, with the property that all products of idempotents that fall into group ℋ-classes are idempotent, is shown to be isomorphic
to the direct product of the lattice of varieties of groups with exponent dividing n and the lattice of exact subvarieties of a variety generated by a certain five element completely 0-simple semigroup. 相似文献
46.
We continue the investigation of notions of approximate amenability that were introduced in work of the second and third authors together with R.J. Loy. It is shown that every boundedly approximately contractible Banach algebra has a bounded approximate identity, and that the Fourier algebra of the free group on two generators is not operator approximately amenable. Further examples are obtained of ?1-semigroup algebras which are approximately amenable but not amenable; using these, we show that bounded approximate contractibility need not imply sequential approximate amenability. Results are also given for Segal algebras on locally compact groups, and algebras of p-pseudo-functions on discrete groups. 相似文献
47.
许明 《数学物理学报(A辑)》2009,29(6):1580-1589
该文给出与非光滑核有关的半群所刻画的加权Hardy空间与BMO空间, 讨论了它们的性质与对偶性. 相似文献
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