We study the homogenization of the equation R(epsilon(-1) x) partial derivative u(epsilon)/partial derivative t - Delta u(epsilon) = f, where R is a periodic function which may vanish or change sign, with appropriate initial/final conditions. The main tool is a compactness result for sequences of functions which have bounded norms in the spaces associated to the problems.
HOMOGENIZATION OF FORWARD-BACKWARD PARABOLIC EQUATIONS
PARONETTO, FABIO
2005
Abstract
We study the homogenization of the equation R(epsilon(-1) x) partial derivative u(epsilon)/partial derivative t - Delta u(epsilon) = f, where R is a periodic function which may vanish or change sign, with appropriate initial/final conditions. The main tool is a compactness result for sequences of functions which have bounded norms in the spaces associated to the problems.File in questo prodotto:
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