Minimum Parametrization of the Cauchy Stress Operator
Minimum Parametrization of the Cauchy Stress Operator作者机构：CERMICS Ecole des Ponts Paris Tech France
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2021年第12卷第4期
页 面：453-482页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Differential Operator Differential Sequence Killing Operator Riemann Operator Bianchi Operator Cauchy Operator Electromagnetism Elasticity General Relativity Gravitational Waves
摘 要：When D: ξ→η is a linear differential operator, a “direct problem is to find the generating compatibility conditions (CC) in the form of an operator D1: η→ξ such that Dξ=η implies D1η=0. When D is involutive, the procedure provides successive first order involutive operators D1, ..., Dn, when the ground manifold has dimension n, a result first found by M. Janet as early as in 1920, in a footnote. However, the link between this “Janet sequence and the “Spencer sequence first found by the author of this paper in 1978 is still not acknowledged. Conversely, when D1 is given, a more difficult “inverse problem is to look for an operator D: spa
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