Homogenization of a class of degenerate parabolic equations
Fabio Paronetto · Asymptotic Analysis · 1999
In this paper we study the homogenization problem of a sequence of degenerate linear parabolic operators [Formula: see text] ( $\gamma, \beta \geq 0$ ), where the matrix of the coefficients $a(y,\tau)$ verifies the degenerate elliptic condition $\lambda(y)\vert \xi\vert ^2\leq (a(y,\tau)\cdot \xi,\xi)\leq L\lambda(y) \vert \xi\vert ^2$ , $\lambda$ being a weight satisfying a Muckenhoupt’s condition ( $\lambda\in A_2$ ) and $(\mu,\lambda)$ being a pair of weights satisfying a generalized Muckenhoupt’s condition.