Correctors for the Homogenization of Monotone Parabolic Operators

Nils Svanstedt · Journal of Nonlinear Mathematical Physics · 2000

In the homogenization of monotone parabolic partial differential equations with oscillations in both the space and time variables the gradients converges only weakly in L p .In the present paper we construct a family of correctors, such that, up to a remainder which converges to zero strongly in L p , we obtain strong convergence of the gradients in L p .

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