共查询到20条相似文献,搜索用时 31 毫秒
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In this paper, we consider the Cauchy problem for a two-phase model with magnetic field in three dimensions. The global existence and uniqueness of strong solution as well as the time decay estimates in are obtained by introducing a new linearized system with respect to for constants and , and doing some new a priori estimates in Sobolev Spaces to get the uniform upper bound of in norm. 相似文献
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B. Narasimha Chary 《Journal of Pure and Applied Algebra》2018,222(9):2552-2561
Let G be a simple algebraic group over the field of complex numbers. Fix a maximal torus T and a Borel subgroup B of G containing T. Let w be an element of the Weyl group W of G, and let be the Bott–Samelson–Demazure–Hansen (BSDH) variety corresponding to a reduced expression of w with respect to the data .In this article we give complete characterization of the expressions such that the corresponding BSDH variety is Fano or weak Fano. As a consequence we prove vanishing theorems of the cohomology of tangent bundle of certain BSDH varieties and hence we get some local rigidity results. 相似文献
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In this work we analyze some topological properties of the remainder of the semialgebraic Stone–Cěch compactification of a semialgebraic set in order to ‘distinguish’ its points from those of M. To that end we prove that the set of points of that admit a metrizable neighborhood in equals where is the largest locally compact dense subset of M and is the closure in M of the set of 1-dimensional points of M. In addition, we analyze the properties of the sets and of free maximal ideals associated with formal and semialgebraic paths. We prove that both are dense subsets of the remainder ?M and that the differences and are also dense subsets of ?M. It holds moreover that all the points of have countable systems of neighborhoods in . 相似文献
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Wassim Nasserddine 《Comptes Rendus Mathematique》2017,355(5):543-548
Let G be a separable locally compact group with type-I left regular representation, its dual and its Fourier algebra. We prove an analogue of Parseval's theorem and that the mapping is an isometric isomorphism of Banach spaces from onto . 相似文献
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Carme Cascante Joan Fàbrega Joaquín M. Ortega 《Journal of Mathematical Analysis and Applications》2018,457(1):722-750
In this paper we characterize the boundedness of the bilinear form defined by in the product of homogeneous Sobolev spaces , . We deduce a characterization of the space of pointwise multipliers from to its dual in terms of trace measures. 相似文献
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Domenico Perrone 《Differential Geometry and its Applications》2013,31(6):820-835
Let be a Riemannian manifold. We denote by an arbitrary Riemannian g-natural metric on the unit tangent sphere bundle , such metric depends on four real parameters satisfying some inequalities. The Sasaki metric, the Cheeger–Gromoll metric and the Kaluza–Klein metrics are special Riemannian g-natural metrics. In literature, minimal unit vector fields have been already investigated, considering equipped with the Sasaki metric [12]. In this paper we extend such characterization to an arbitrary Riemannian g-natural metric . In particular, the minimality condition with respect to the Sasaki metric is invariant under a two-parameters deformation of the Sasaki metric. Moreover, we show that a minimal unit vector field (with respect to ) corresponds to a minimal submanifold. Then, we give examples of minimal unit vector fields (with respect to ). In particular, we get that the Hopf vector fields of the unit sphere, the Reeb vector field of a K-contact manifold, and the Hopf vector field of a quasi-umbilical hypersurface with constant principal curvatures in a Kähler manifold, are minimal unit vector fields (with respect to ). 相似文献
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Yoshiyasu Ozeki 《Journal of Number Theory》2013,133(11):3810-3861