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Homogenization of periodic semilinear hypoelliptic PDEs. (English) Zbl 1131.35304
Summary: We establish homogenization results for both linear and semilinear partial differential equations of parabolic type, when the linear second order PDE operator satisfies a hypoellipticity assumption, rather than the usual ellipticity condition. Our method of proof is essentially probabilistic.

MSC:
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35H10 Hypoelliptic equations
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