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

✍ Scribed by Nikos I. Karachalios; Nikos B. Zographopoulos

Publisher
Springer
Year
2008
Tongue
English
Weight
198 KB
Volume
91
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

A note on the dimension of the global at
A note on the dimension of the global attractor for an abstract semilinear hyperbolic problem
✍ Miroslav Bulíček; Dalibor PraΕΎΓ‘k πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 314 KB

We study a semilinear hyperbolic problem, written as a second-order evolution equation in an infinite-dimensional Hilbert space. Assuming existence of the global attractor, we estimate its fractal dimension explicitly in terms of the data. Despite its elementary character, our technique gives reason