A sharp estimate and change on the dimension of the attractor for singular semilinear parabolic equations

DOI10.1007/S00013-008-2864-9zbMath1173.35535arXiv0802.1860OpenAlexW2040522845MaRDI QIDQ999111

Nikos I. Karachalios, Nikolaos B. Zographopoulos

Publication date: 30 January 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1860

zbMATH Keywords

attractorsHausdorff dimensionfractal dimensionHardy inequalityAllen-Cahn equationsingular potentialSemilinear parabolic equation

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57)

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