Autor:	Chermisi, Milena, Conti, Sergio
Rok vydání:	2008
Předmět:	Mathematics - Analysis of PDEs 53C24 (Primary) 74B20 (Secondary)
Zdroj:	SIAM J. Math. Analysis 42 (2010), 1986--2012
Druh dokumentu:	Working Paper
Popis:	We derive a quantitative rigidity estimate for a multiwell problem in nonlinear elasticity. Precisely, we show that if a gradient field is L^1-close to a set of the form SO(n)U_1 \cup ... \cup SO(n)U_l, and an appropriate bound on the length of the interfaces holds, then the gradient field is actually close to only one of the wells SO(n)U_i. The estimate holds for any connected subdomain, and has the optimal scaling. Comment: 23 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0802.0955 Zobrazit plný text záznamu View this record from Arxiv