作者：S. Zeynep Özal Kurşungöz 来源：[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (2), pp.329-356CEDRAM 摘要：Let $\Omega ^0$ be a bounded domain in $\mathbb{C}^n$ and $\mathcal{E}$ be a compact subset of $\Omega ^0$ such that $\Omega := \Omega ^0 \setminus \mathcal{E}$ is connected. This paper deals with the study of the extension properties of the pluricomplex Green function of $\Omega...  作者：Maxime Zavidovique 来源：[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (2), pp.209-224CEDRAM 摘要：We show that viscosity solutions of evolutionary weakly coupled systems of Hamilton–Jacobi equations can be approximated by iterated twisted Lax–Oleinik like operators. We establish convergence to the solution of the iterated scheme and discuss further properties of the appr...  作者：Jean Ruppenthal 来源：[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (2), pp.225-258CEDRAM 摘要：The present paper is a complement to the$L^2$-theory for the$\overline{\partial }$-operator on a Hermitian complex space$X$of pure dimension$n$with isolated singularities, presented in [17] and [13]. The general philosophy is to use a resolution of singularities$\pi :...
 作者：Ibrahima Hamidine 来源：[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (2), pp.357-396CEDRAM 摘要：We propose an approach of Mellin type for the approximation of integration currents or the effective realization of normalized Green currents associated with a cycle $\bigwedge _1^m[\mathrm{div}(s_j)]$, where $s_j$ is a meromorphic section of a line bundle \$ \mathscr{L}_j \rig...
 作者：Jean-François Coulombel 来源：[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (2), pp.259-327CEDRAM 摘要：The aim of this article is to propose a systematic study of transparent boundary conditions for finite difference approximations of evolution equations. We try to keep the discussion at the highest level of generality in order to apply the theory to the broadest class of problems...
 作者：Damien Calaque 来源：[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.67-90CEDRAM 摘要：We prove that shifted cotangent stacks carry a canonical shifted symplectic structure. We also prove that shifted conormal stacks carry a canonical Lagrangian structure. These results were believed to be true, but no written proof was available in the Artin case.
 作者：Nicolas Lerner 来源：[J].Annales de la faculté des sciences de Toulouse, 2019, Vol.28 (1), pp.1-9CEDRAM 摘要：The mathematician Yuri Egorov died on October 6, 2018 in Toulouse. This text outlines two fundamental aspects of his work, the quantification of canonical transformations and the study of subelliptic operators.