摘要：为贯彻落实习近平总书记视察学校重要指示精神，落实落细学校2025年学科建设任务，图书馆推出高水平论文，助力师生捕捉学科领域前沿热点、聚焦原创性突破，繁荣学术交流，不断提升学校学术成果影响力。

为贯彻落实习近平总书记视察学校重要指示精神，落实落细学校2025年学科建设任务，图书馆推出高水平论文，助力师生捕捉学科领域前沿热点、聚焦原创性突破，繁荣学术交流，不断提升学校学术成果影响力。

01

MOORE-PENROSE INVERSE OF TENSORS VIA EINSTEIN PRODUCT

来源：LINEAR & MULTILINEAR ALGEBRA 2016, Volume 64, Issue 4:686-698.

滑动阅读摘要

In this paper, we define the Moore-Penrose inverse of tensors with the Einstein product, and the explicit formulas of the Moore-Penrose inverse of some block tensors are obtained. The general solutions of some multilinear systems are given and we also give the minimum-norm least-square solution of some multilinear systems using the Moore-Penrose inverse of tensors.

作者：Xu, Runzhang

来源：COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2021, Volume 20, Issue 2:583-621.

滑动阅读摘要

This paper considers two problems: the initial boundary value problem of nonlinear Caputo time-fractional pseudo-parabolic equations with fractional Laplacian, and the Cauchy problem (initial value problem) of Caputo time-fractional pseudo-parabolic equations. For the first problem with the source term satisfying the globally Lipschitz condition, we establish the local well-posedness theory including existence, uniqueness and regularity of the local solution, and the further local existence theory related to the finite time blow-up are also obtained for the problem with logarithmic nonlinearity. For the second problem with the source term satisfying the globally Lipschitz condition, we prove the global existence theorem.

来源：大东北生活资讯