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On the Integral Representation of Variational Functionals on $BD$
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2020-08-24 , DOI: 10.1137/19m1277564 M. Caroccia , M. Focardi , N. Van Goethem
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2020-08-24 , DOI: 10.1137/19m1277564 M. Caroccia , M. Focardi , N. Van Goethem
SIAM Journal on Mathematical Analysis, Volume 52, Issue 4, Page 4022-4067, January 2020.
Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with bounded deformation. Mild additional continuity assumptions are required on the functionals.
中文翻译:
关于$ BD $上变分泛函的积分表示
SIAM数学分析杂志,第52卷,第4期,第4022-4067页,2020年1月。
采用全局松弛方法,我们证明了自然存在于有界变形函数空间上的一大类变分函数的积分表示结果。在功能上还需要轻度的其他连续性假设。
更新日期:2020-08-25
Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with bounded deformation. Mild additional continuity assumptions are required on the functionals.
中文翻译:
关于$ BD $上变分泛函的积分表示
SIAM数学分析杂志,第52卷,第4期,第4022-4067页,2020年1月。
采用全局松弛方法,我们证明了自然存在于有界变形函数空间上的一大类变分函数的积分表示结果。在功能上还需要轻度的其他连续性假设。