Stochastic homogenization of quasilinear PDEs with a spatial degeneracy
作者： François Delarue , Rémi Rhodes
关键词: Degenerate energy levels 、 Homogenization (chemistry) 、 Nonlinear system 、 Diffusion operator 、 Degeneracy (mathematics) 、 Mathematical analysis 、 Ergodic theory 、 Orders of approximation 、 Mathematics 、 Parabolic partial differential equation
摘要: We investigate stochastic homogenization for some degenerate quasilinear pa rabolic PDEs. The underlying nonlinear operator degenerates along the space variable, uniformly in term: degeneracy points correspond to of a reference diffusion on random medium. Assuming that this is ergodic, we can prove property PDEs, by means first order approximation method. (nonlinear) limit needn't be nondegenerate. Concrete examples are provided.
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