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On periodic Steklov type eigenvalue problems on halfbands and the spectral homogenization problem
Weak solutions for a doubly degenerate quasilinear parabolic equation with random forcing
1.  Department of Mathematics, University of Pretoria, Pretoria 0002, South Africa 
$d(y^{\alpha 2}y)  [ \sum_{i=1}^{n} \frac{\partial }{\partial x_{i}}( \frac{\partial y}{\partial x}^{p2}\frac{\partial y}{\partial x_{i}}) c_{1}\y ^{2\mu 2}y] dt=fdW$
where $W$ is a $d$dimensional Wiener process defined on a complete probability space, $f$ is a vectorfunction, $p$, $\alpha $, $\mu $ are some non negative numbers satisfying appropriate restrictions. The equation arises from a suitable stochastic perturbation of the Darcy Law in the motion of an ideal barotropic gas.
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