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 -convergence for elliptic operators , -convergence for parabolic operators , singular perturbations of an elliptic operator and , possibly .
Keywords: $G$-convergence, PDE of mixed type, linear elliptic and parabolic equations
@article{COCV_2007__13_4_669_0, author = {Paronetto, Fabio}, title = {Asymptotic behaviour of a class of degenerate elliptic-parabolic operators : a unitary approach}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {669--691}, publisher = {EDP-Sciences}, volume = {13}, number = {4}, year = {2007}, doi = {10.1051/cocv:2007029}, mrnumber = {2351397}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv:2007029/} }
TY - JOUR AU - Paronetto, Fabio TI - Asymptotic behaviour of a class of degenerate elliptic-parabolic operators : a unitary approach JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2007 SP - 669 EP - 691 VL - 13 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2007029/ DO - 10.1051/cocv:2007029 LA - en ID - COCV_2007__13_4_669_0 ER -
%0 Journal Article %A Paronetto, Fabio %T Asymptotic behaviour of a class of degenerate elliptic-parabolic operators : a unitary approach %J ESAIM: Control, Optimisation and Calculus of Variations %D 2007 %P 669-691 %V 13 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv:2007029/ %R 10.1051/cocv:2007029 %G en %F COCV_2007__13_4_669_0
Paronetto, Fabio. Asymptotic behaviour of a class of degenerate elliptic-parabolic operators : a unitary approach. ESAIM: Control, Optimisation and Calculus of Variations, Volume 13 (2007) no. 4, pp. 669-691. doi : 10.1051/cocv:2007029. http://www.numdam.org/articles/10.1051/cocv:2007029/
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