| Issue |
ESAIM: COCV
Volume 13, Number 4, October-December 2007
|
|
|---|---|---|
| Page(s) | 669 - 691 | |
| DOI | https://doi.org/10.1051/cocv:2007029 | |
| Published online | 20 July 2007 | |
Asymptotic behaviour of a class of degenerate elliptic-parabolic operators: a unitary approach
Dipartimento di Matematica “Ennio De Giorgi”, Università del Salento, via per Arnesano, 73100 Lecce, Italy; fabio.paronetto@unile.it
Received:
26
May
2005
Revised:
5
January
2006
Revised:
17
February
2006
We study the asymptotic behaviour of a sequence of strongly
degenerate parabolic equations 
with 
, 
.
The main problem is the lack of compactness, by-passed via a regularity result.
As particular cases, we obtain G-convergence for elliptic operators
,
G-convergence for parabolic operators 
, singular perturbations
of an elliptic operator
and 
, possibly 
.
Mathematics Subject Classification: 35J15 / 35K10 / 35M10 / 45J45
Key words: G-convergence / PDE of mixed type / linear elliptic and parabolic equations
© EDP Sciences, SMAI, 2007
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