Published: 1999-09-30

On dimension of attractors of reaction-diffusion equations with periodic right-hand side

Francisco Balibrea , José Valero

Abstract

In this paper we study the finite-dimensionality of the global attractor of a discrete dynamical system generated by a reaction-diffusion equation with non-differentiable nonlinear term and periodic right-hand side. The existence of an exponential attractor is also proved. Explicit estimates of the fractal dimension are given.

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Citation rules

Balibrea, F., & Valero, J. (1999). On dimension of attractors of reaction-diffusion equations with periodic right-hand side. Annales Mathematicae Silesianae, 13, 61–71. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14137

Domyślna okładka

Vol. 13 (1999)
Published: 1999-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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