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G-convergence of mixed type evolution operators

โœ Scribed by Fabio Paronetto


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
487 KB
Volume
93
Category
Article
ISSN
0021-7824

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โœฆ Synopsis


We give a compactness result with respect to G-convergence for sequences of mixed evolution (elliptic-parabolic) equations P h u = โˆ‚ t (ฮผ h u)div(a h (x, t, Du)) = f , ฮผ h positive, null and negative. We show that the limit operator is of the form P u = โˆ‚ t (ฮผu)div(a(x, t, Du)) and that ฮผ 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.


๐Ÿ“œ SIMILAR VOLUMES


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