共查询到20条相似文献,搜索用时 93 毫秒
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Parabolic equations with nonlinear singularities 总被引:2,自引:0,他引:2
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Manwah Lilian Wong 《Journal of Computational and Applied Mathematics》2009,233(3):852-855
Let be a probability measure on the unit circle and be the measure formed by adding a pure point to . We give a formula for the Verblunsky coefficients of , based on a result of Simon. 相似文献
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D. Belko Garba 《Bulletin des Sciences Mathématiques》2003,127(10):845-857
Let be a holomorphic foliation with reduced singularities on a complex surface M and a real analytic codimension one foliation on M whose leaves contain the ones of . We show that a Levi flat group of diffeomorphisms of is resoluble and holomorphically conjugate to his normal form. We deduce, in one hand, that each singularity of is conjugate to his normal form. In the other hand at each singularity m of , where is not defined, up a conjugacy, by the one form ω=xdy+ydx, one of the local invariant curves of , with non obvious holonomy, is contained in the set of singularities of . Moreover if M is a compact Stein variety we show, under some generic conditions, that has a 1-Liouvillian first integrating factor. 相似文献
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Let be a finitely generated variety of Heyting algebras and let be the class of subdirectly irreducible algebras in . We prove that is dually equivalent to a category of functors from into the category of Boolean spaces. The main tool is the theory of multisorted natural dualities. 相似文献
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Various properties of the regression vector produced by cyclic subspace regression with regard to the meancentered linear regression equation are put forth. In particular, the subspace associated with the creation of is shown to contain a basis that maximizes certain covariances with respect to , the orthogonal projection of onto a specific subspace of the range of X. This basis is constructed. Moreover, this paper shows how the maximum covariance values effect the . Several alternative representations of are also developed. These representations show that is a modified version of the l-factor principal components regression vector , with the modification occurring by a nonorthogonal projection. Additionally, these representations enable prediction properties associated with to be explicitly identified. Finally, methods for choosing factors are spelled out. 相似文献
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We give a characterization of exponentiable monomorphisms in the categories of ω-complete posets, of directed complete posets and of continuous directed complete posets as those monotone maps f that are convex and that lift an element (and then a queue) of any directed set (ω-chain in the case of ) whose supremum is in the image of f (Theorem 1.9). Using this characterization, we obtain that a monomorphism f:X→B in (, ) exponentiable in w.r.t. the Scott topology is exponentiable also in (, ). We prove that the converse is true in the category , but neither in , nor in . 相似文献
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Joachim Toft 《Bulletin des Sciences Mathématiques》2003,127(2):101-132
We study , of all such that for every ?∈C∞0, where denotes the twisted convolution. We prove that certain boundedness for are completely determined of the behaviour for a at origin, for example that , and that if a(0)<∞, then a∈L2∩L∞. We use the results in order to determine wether positive pseudo-differential operators belong to certain Schatten-casses or not. 相似文献
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Cristina Giannotti 《Journal of Differential Equations》2004,201(2):234-249
A second order, nonvariational, elliptic operator L and a function V are constructed in with the following properties: the operator L is uniformly elliptic, without zero-order term and smooth almost everywhere in ; the function (1<p<3) solves the equation LV=0 in , it has compact support but it is not identically zero. 相似文献
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We introduce a new class of functions satisfying normal Condition (C*), denoted by , which are translation bounded but not translation compact — in particular, which are more general than normal functions (see [S.S. Lu, H.Q. Wu, C.K. Zhong, Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces, Discrete Contin. Dyn. Syst., 13 (2005) 701-719] for the definition), denoted by . Furthermore, we prove the existence of uniform attractors for 2D Navier-Stokes equations with external forces belonging to in . 相似文献
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We prove a refined limiting imbedding theorem of the Brézis-Wainger type in the first critical case, i.e. , for Sobolev spaces and Bessel potential spaces of functions with values in a general Banach space E. In particular, the space E may lack the UMD property. 相似文献
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Songzhe Lian 《Journal of Differential Equations》2008,244(5):1178-1209
For , the author studies the existence of a kind of weak solution to the Cauchy problem