论文标题
具有线性生长的退化积分功能的随机均质化
Stochastic homogenization of degenerate integral functionals with linear growth
论文作者
论文摘要
我们研究了在$ w^{1,1} $上定义的非凸，矢量，随机积分函数的序列的极限行为，其积分满足退化的线性生长条件。这些涉及合适的随机，依赖比例的重量功能。在对积分和重量功能上的最小假设下，我们表明功能的顺序均匀地均匀地定义为$ bv $定义的非分级功能。
We study the limit behaviour of a sequence of non-convex, vectorial, random integral functionals, defined on $W^{1,1}$, whose integrands satisfy degenerate linear growth conditions. These involve suitable random, scale-dependent weight-functions. Under minimal assumptions on the integrand and on the weight-functions, we show that the sequence of functionals homogenizes to a non-degenerate functional defined on $BV$.
