G-convergence of mixed type evolution operators

✍ Scribed by Fabio Paronetto

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 487 KB
• Volume: 93
• Category: Article
• ISSN: 0021-7824
• DOI: 10.1016/j.matpur.2009.10.008

✦ Synopsis

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