Geodesic
PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMI-LINEAR DEGENERATE PARABOLIC EQUATION
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 537-554

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DOI

In this paper, using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a non-autonomous semi-linear degenerate parabolic equation in an arbitrary domain, without restriction on the growth order of the polynomial type non-linearity and with a suitable exponential growth of the external force. The obtained results improve some recent ones for the non-autonomous reaction–diffusion equations.
DOI : 10.1017/S0017089510000418
Mots-clés : 35B41, 35K65, 35D05 
ANH, CUNG THE; BAO, TANG QUOC. PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMI-LINEAR DEGENERATE PARABOLIC EQUATION. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 537-554. doi: 10.1017/S0017089510000418
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     author = {ANH, CUNG THE and BAO, TANG QUOC},
     title = {PULLBACK {ATTRACTORS} {FOR} {A} {NON-AUTONOMOUS} {SEMI-LINEAR} {DEGENERATE} {PARABOLIC} {EQUATION}},
     journal = {Glasgow mathematical journal},
     pages = {537--554},
     year = {2010},
     volume = {52},
     number = {3},
     doi = {10.1017/S0017089510000418},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000418/}
}
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