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On finite-dimensional attractor to nonsmooth reaction-diffusion equations

2026/07/31 by Dalibor Pražák, Buddhika Priyasad, Michael Zelina
Mathematics · #math.AP

paper · pdf

arxiv created 2026/07/31 · arxiv updated 2026/08/03

Abstract

We consider a reaction diffusion equation, where the lower-order nonlinearity allows for a non-smooth part, described by a maximal monotone relation. We show that the global attractor has finite fractal dimension, and also obtain explicit upper estimates in terms of the data.

Citations