Homogenization in PDE’s and in Stochastic Processes
Mark Iosifovich Freidlin · Birkhäuser Basel eBooks · 1996
Consider a second order elliptic operator with 1-periodic coefficients 1 $$L = \frac{1}{2}\sum\limits_{i,j = 1}^r {{a^{ij}}} (x)\frac{{{\partial ^2}}}{{\partial {x^i}\partial {x^j}}} + \sum {{b^i}} (x)\frac{\partial }{{\partial {x^i}}},x \in {R^r}.$$