We give a compactness result with respect to G-convergence for sequences of mixed evolution (elliptic parabolic) equations P(h)u = partial derivative(t)(mu(h)u) - div(a(h)(x, t, Du)) = f, mu(h) positive, null and negative. We show that the limit operator is of the form Pu = partial derivative(t)(mu u) - div(a(x, t, Du)) and that mu and a are independent of each other. Under some time regularity we show that this convergence is equivalent to the pointwise (in time) elliptic G-convergence. (C) 2009 Elsevier Masson SAS. All rights reserved.

G-convergence of mixed type evolution operators

PARONETTO, FABIO
2010

Abstract

We give a compactness result with respect to G-convergence for sequences of mixed evolution (elliptic parabolic) equations P(h)u = partial derivative(t)(mu(h)u) - div(a(h)(x, t, Du)) = f, mu(h) positive, null and negative. We show that the limit operator is of the form Pu = partial derivative(t)(mu u) - div(a(x, t, Du)) and that mu and a are independent of each other. Under some time regularity we show that this convergence is equivalent to the pointwise (in time) elliptic G-convergence. (C) 2009 Elsevier Masson SAS. All rights reserved.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2426845
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