Relaxation of Certain Integral Functionals Depending on Strain and Chemical Composition
Relaxation of Certain Integral Functionals Depending on Strain and Chemical Composition
摘要
The authors provide a relaxation result in BV×Lq, 1≤q<+∞ as the first step towards the analysis of thermochemical equilibria.
基金
supported by the Portuguese Foundation for Science and Technology Fundaco para a Ciência e Tecnologia(No.SFRH/BPD/34477/2006)
Financiamento Base 2010-ISFL/1/297 from FCT/MCTES/PT
Portuguese Foundation for Science and Technology Fundacao para a Ciê ncia e Tecnologia(Nos.UTACMU/MAT/0005/2009,PTDC/MAT/109973/2009)
参考文献18
-
1Ambrosio, L. and Maso, G. D., On the relaxation in BV(Y:; Rm) of quasi-convex integrals, J. Funct. Anal., 109, 1992, 76-97.
-
2Ambrosio, L., Fusco, N. and Pallara, D., Functions of Bounded Variation and Free Discontinuity Problems, Clarendon Press, Oxford, 2000.
-
3Ambrosio, L., Mortola, S. and Tortorelli, V. M., Functionals with linear growth defined on vector valued BV functions, J. Math. Pures Appl., IX S:r., 70(3), 1991, 269-323.
-
4Aujol, J. F., Aubert, G., Blanc-F6raud, L. and Chambolle, A., Image decomposition into a bounded variation component and an oscillating component, J. Math. lmaging and Vision, 22(1), 2005, 71-88.
-
5Aujol, J. F., Aubert, G., Blanc-F:raud, L. and Chambolle, A., Decomposing an image: Application to SAR images, Scale-Space '03, Lecture Notes in Computer Science, Vol. 2695, 2003, 297-312.
-
6Aujol, J. F. and Kang, S. H., Color image decomposition and restoration, J. Visual Commun. and Image Representation, 17(4), 2006, 916 928.
-
7Babadjian, J. F., Zappale, E. and Zorgati, H., Dimensional reduction for energies with linear growth involv- ing the bending moment, J. Math. Pures Appl. (9), 90(6), 2008, 520-549.
-
8Braides, A., Fonseca, I. and Leoni, G., :4-quasiconvexity: relaxation and homogenization, ESAIM: Control, Optimization and Calculus of Variations, 5, 2000, 539-577.
-
9Carita, G., Ribeiro, A. M. and Zappale, E., An homogenization result in WI'p x Lq, J. Convex Anal., 18(4), 2011. 1093-1126.
-
10Carita, G., Ribeiro, A. M. and Zappale, E., Relaxation for some integral functionals in W:'p : Lqw, Bol. Soc. Port. Mat., Special Issue, 2010, 47-53.
-
1宁正元,王秀丽.THE REGULARITY OF QUASI-MINIMA AND ω-MINIMA OF INTEGRAL FUNCTIONALS[J].Acta Mathematica Scientia,2010,30(4):1301-1317.
-
2Zhong-xue Lu,Xiao-ping Yang,Min-ling Zheng.A Lower Semicontinuity Result for Some Integral Functionals in the Space SBD[J].Acta Mathematicae Applicatae Sinica,2008,24(2):297-304.
-
3李敏,贾丽洁,王明春.杆件分析类型与载荷平衡分析[J].力学与实践,2009,31(6):71-73.
-
4王子红.刚体的定轴转动及平衡分析[J].太原师范学院学报（自然科学版）,2008,7(1):108-109.
-
5吴建忠.物体动态平衡分析[J].中学理科（高中内容）,2002(7):24-25.
-
6过明道,李天祥,叶桃红,匡军.系统平衡分析的元素势法[J].中国科学技术大学学报,1997,27(1):88-93. 被引量：6
-
7蒋春松.系泊系统平衡分析及对全国数模大赛题问题一解答[J].高教学刊,2017,3(10):189-190.
-
8徐明利,张若棋,张光莹.SHPB实验中试件内早期应力平衡分析[J].爆炸与冲击,2003,23(3):235-240. 被引量：19
-
9徐恭贤,苏丹.计算甘油代谢目标函数的一种新算法[J].计算机工程与应用,2014,50(8):226-230. 被引量：1
-
10刘树鑫,李韶华.浅谈玉米杂交制种的后期管理[J].种子世界,1998(1):19-19.
