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991.
Mitrofan M. Choban 《Topology and its Applications》2008,155(8):787-796
In the present article many theorems about existence of continuous selections for a set-valued mapping into the metrizable spaces are extended to mappings into non-metrizable spaces. 相似文献
992.
We show that extensions of algebraically closed fields induce full and faithful functors between the respective motivic stable
homotopy categories with finite coefficients. 相似文献
993.
Abstract. In this paper we prove the existence and uniqueness of strong solutions for the stochastic Navier—Stokes equation in bounded
and unbounded domains. These solutions are stochastic analogs of the classical Lions—Prodi solutions to the deterministic
Navier—Stokes equation. Local monotonicity of the nonlinearity is exploited to obtain the solutions in a given probability
space and this significantly improves the earlier techniques for obtaining strong solutions, which depended on pathwise solutions
to the Navier—Stokes martingale problem where the probability space is also obtained as a part of the solution. 相似文献
994.
995.
Ragnar-Olaf Buchweitz 《Advances in Mathematics》2008,217(1):205-242
We introduce Hochschild (co-)homology of morphisms of schemes or analytic spaces and study its fundamental properties. In analogy with the cotangent complex we introduce the so-called (derived) Hochschild complex of a morphism; the Hochschild cohomology and homology groups are then the Ext and Tor groups of that complex. We prove that these objects are well defined, extend the known cases, and have the expected functorial and homological properties such as graded commutativity of Hochschild cohomology and existence of the characteristic homomorphism from Hochschild cohomology to the (graded) centre of the derived category. 相似文献
996.
Miles Holloway 《Archiv der Mathematik》2008,90(4):311-316
We answer a question raised in [9] by showing the equality of two different definitions of rank variety for finitely generated
modules over truncated polynomial algebras. We do this by establishing an isomorphism of algebras used in the two definitions
of rank variety.
Received: 23 April 2007 相似文献
997.
A non-linear Diophantine condition involving perfect squares and arising from an inhomogeneous wave equation on the torus guarantees the existence of a smooth solution. The exceptional set associated with the failure of the Diophantine condition and hence of the existence of a smooth solution is studied. Both the Lebesgue and Hausdorff measures of this set are obtained. 相似文献
998.
In this paper we study advantages of numerical integration by quasi-consistent Nordsieck formulas. All quasi-consistent numerical methods possess at least one important property for practical use, which has not attracted attention yet, i.e. the global error of a quasi-consistent method has the same order as its local error. This means that the usual local error control will produce a numerical solution for the prescribed accuracy requirement if the principal term of the local error dominates strongly over remaining terms. In other words, the global error control can be as cheap as the local error control in the methods under discussion. 相似文献
999.
It is known that the orbit closures for the representations of the equioriented Dynkin quivers ?
n
are normal and Cohen–Macaulay varieties with rational singularities. In the paper we prove the same for the Dynkin quivers
?
n
with arbitrary orientation.
Received: 25 October 2000 / Revised version: 28 February 2001 相似文献
1000.
Hideo Kozono 《Mathematische Annalen》2001,320(4):709-730
Consider the nonstationary Stokes equations in exterior domains with the compact boundary . We show first that the solution decays like for all as . This decay rate is optimal in the sense that for some as occurs if and only if the net force exerted by the fluid on is zero.
Received: 15 June 2000 / Published online: 18 June 2001 相似文献