其中最后一项的求和号与积分号互换位置是通过控制收敛定理(Dominated convergence theorem)得到的。最后我们根据指数函数的麦克劳林展开 ez=∑n=0∞zkn! ,将积分继续简化,得到: ∑k=1∞1kk=∫01e−uln(u)du=∫01u−udu 我们最终通过补Gamma函数将一个级数转化为了一个简短的定积分。这还只是Gamma函数的...
H.-M. Nguyen, -convergence, Sobolev norms, and BV functions, Duke Math. J. 157 (2011) 495-533.H-M. Nguyen, Γ-convergence, Sobolev norms, and BV functions, Duke Math. J. 157 (2011), 495-533. 2H.-M. Nguyen, Γ-convergence, Sobolev norms, and BV functions, Duke Math. J. ...
Gamma-convergence for Beginners豆瓣评分:0.0 简介:The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for the description of the asymptotic behaviour of variational problems. Its applications range from the mathematic
所以根据控制收敛定理(Dominated convergence theorem),我们得到: limn→∞∫0∞fn(t)dt=∫0∞f(t)dt 又因为 fn(t)≡0 ∀ t∉[0,n] ,所以 ∫0∞fn(t)dt=∫0nfn(t)dt ,于是: limn→∞∫0nfn(t)dt=∫0∞f(t)dt 我们定义 Γn(z)=∫0ntz−1(1−tn)ndt 。根据上面的结论,我们...
L. Bertozzi, "Γ-convergence of graph Ginzburg-Landau functionals," Advances in Differential Equations, vol. 17, no. 11/12, pp. 1115-1180, 2012.A. Bertozzi and Y. van Gennip, "Γ-convergence of graph Ginzburg- Landau functionals," Advances in Differential Equations, vol. 17, no. 11-12...
Gamma-convergence for Beginners 作者:Andrea Braides 出版年:2002-7 页数:230 定价:$ 158.20 ISBN:9780198507840 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 + 加入购书单 momo 2019年12月9日 想读 >1人想读
convergence and LD toother characterizations. At least when X is compact, it is easy to see that the narrowconvergence µ n → µ is equivalent to the Γ-convergence of the relative entropy functionalH(·|µ n ) to H(·|µ) and also to the Γ-convergence of the maps K 7→ ...
Convergence analysis of a conforming adaptive finite element method for an obstacle problem The adaptive algorithm for the obstacle problem presented in this paper relies on the jump residual contributions of a standard explicit residual-based a p... D Braess,C Carstensen,RHW Hoppe - 《Numerische ...
Theoretical or Mathematical/ bending convergence elasticity shells (structures)/ nonlinear bending theory three-dimensional nonlinear elasticity shells Gamma-convergence/ A0340D Mathematical theory of elasticity A4630C Elasticity A4630J Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation DOI...
At the focus there is the stability of these problems w.r.t.\\ perturbations not only of data but also of operators; this is achieved via De Giorgi's \\Gamma \\Gamma -convergence w.r.t.\\ a nonlinear topology of weak type. A notion of evolutionary \\Gamma \\Gamma -convergence of...