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.