美国数学学会期刊
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作者:Chris Kottke
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.4067-4081AMS
摘要:We define compactifications of vector spaces which are functorial with respect to certain linear maps. These ``many-body'' compactifications are manifolds with corners, and the linear maps lift to b-maps in the sense of Melrose. We derive a simple criterion under which the lifted...
作者:Leandro Arosio , Lorenzo Guerini
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.3947-3954AMS
摘要:We show that if $ f\colon \mathbb{B}^q\to \mathbb{B}^q$ is a holomorphic self-map of the unit ball in $ \mathbb{C}^q$ and $ \zeta \in \partial \mathbb{B}^q$ is a boundary repelling fixed point with dilation $ \lambda >1$, then there exists a backward orbit converging to $ \zeta $...
作者:Amin Esfahani , Steve Levandosky
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.3867-3875AMS
摘要:In this paper, we study the behavior of the solitary waves of the rotation-modified Kadomtsev-Petviashvili equation. By knowing the symmetry of solitary waves in the transverse direction, we improve the previous results and show that these solutions are also symmetric with respec...
作者:Abdelhamid Meziani , Giuliano Zugliani
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.3937-3946AMS
摘要:We study the Hölder solvability of a class of complex vector fields on the torus $ \mathbb{T}^2$. We make use of the Theta function to associate a Cauchy-Pompeiu type integral operator. A similarity principle for the solutions of the equation $ Lu=au+b\bar {u}$ is obtained.
作者:Sergey Finashin , Remziye Arzu Zabun
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.3665-3674AMS
摘要:A famous configuration of 27 lines on a non-singular cubic surface in $ \mathbb{P}^3$ contains remarkable subconfigurations, and in particular the ones formed by six pairwise disjoint lines. We study such six-line configurations in the case of real cubic surfaces from a topologic...
作者:Raymond Cheng , James G. Dragas
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.3927-3936AMS
摘要:For $ p$ in the range $ 1
作者:Bo-Yan Xi , Fuzhen Zhang
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.3705-3713AMS
摘要:The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product.
作者:H. B. de Oliveira , A. Paiva
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.3961-3981AMS
摘要:A one-equation turbulent model that is being used with success in the applications to model turbulent flows through porous media is studied in this work. We consider the classical Navier-Stokes equations, with feedback forces fields, coupled with the equation for the turbulent ki...
作者:Patrick M. Gilmer , Gregor Masbaum
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.4091-4106AMS
摘要:Let $ \Sigma $ be a closed oriented surface of genus $ g$. We show that the Kauffman bracket skein module of $ \Sigma \times S^1$ over the field of rational functions in $ A$ has dimension at least $ 2^{2g+1}+2g-1.$
作者:Andrei Jaikin-Zapirain , Nikolay Nikolov
来源:[J].Proceedings of the American Mathematical Society(IF 0.609), 2019, Vol.147 (9), pp.4083-4089AMS
摘要:We show that an infinite compact Hausdorff group has uncountably many conjugacy classes.

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