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arXiv 1701.05232cs.DMmath-phmath.APmath.MP
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图和数字空间上抛物型偏微分方程的结构。数字空间上的PDE解：Klein瓶、射影平面、四维球面和Moebius带

Structure of a Parabolic Partial Differential Equation on Graphs and Digital spaces. Solution of PDE on Digital Spaces: a Klein Bottle, a Projective Plane, a 4D Sphere and a Moebius Band

Alexander V. Evako

备注：
11-pages, 11 figures, accepted for publication in International Journal of Discrete Mathematics. arXiv admin note: text overlap with arXiv:1507.08109
发表信息：
International Journal of Discrete Mathematics. Vol. 1, No. 1, 2016, pp. 5-14, http://www.sciencepublishinggroup.com/j/dmath
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摘要：

本文研究了图和数字n维流形上的抛物型偏微分方程的结构，数字n维流形是连续n维流形的数字模型。确定并研究了方程解存在的条件。给出了方程在Klein瓶、射影平面、四维球面和Moebius带上的数值解。

英文摘要：

This paper studies the structure of a parabolic partial differential equation on graphs and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. Conditions for the existence of solutions of equations are determined and investigated. Numerical solutions of the equation on a Klein bottle, a projective plane, a 4D sphere and a Moebius strip are presented.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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