Geodesic
REGULARITY AND FRACTAL DIMENSION OF PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR DEGENERATE PARABOLIC EQUATION
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 431-448

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DOI

Considered here is the pullback attractor of the process associated with the first initial boundary value problem for the non-autonomous semilinear degenerate parabolic equation\begin{linenomath}u_t-\text{div}(\sigma(x)\nabla u)+f(u)=g(x,t)\end{linenomath}in a bounded domain Ω in RN (N≥2). We prove the regularity in the space L2p−2(Ω)∩ $D_0^2(\Omega,\sigma)$, and estimate the fractal dimension of the pullback attractor in L2(Ω).
DOI : 10.1017/S0017089512000663
Mots-clés : 37L30, 35B41, 35K65, 35D30 
ANH, CUNG THE; BAO, TANG QUOC; THUY, LE THI. REGULARITY AND FRACTAL DIMENSION OF PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR DEGENERATE PARABOLIC EQUATION. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 431-448. doi: 10.1017/S0017089512000663
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     title = {REGULARITY {AND} {FRACTAL} {DIMENSION} {OF} {PULLBACK} {ATTRACTORS} {FOR} {A} {NON-AUTONOMOUS} {SEMILINEAR} {DEGENERATE} {PARABOLIC} {EQUATION}},
     journal = {Glasgow mathematical journal},
     pages = {431--448},
     year = {2013},
     volume = {55},
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     doi = {10.1017/S0017089512000663},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000663/}
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