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; email@example.com
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