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Global Attractor for Impulsive Reaction-Diffusion Equation

✍ Scribed by G. Iovane; O. V. Kapustyan

Publisher
Springer US
Year
2005
Tongue
English
Weight
332 KB
Volume
8
Category
Article
ISSN
1536-0059

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πŸ“œ SIMILAR VOLUMES

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differential equation with sectorial operator is shown to generate a dissipative semigroup whenever an appropriate introductory estimate for solutions is known. Based on Hale's theory of dissipative systems such an a priori estimate is then shown to be sufficient for existence of a global attractor.

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Our aim in this note is to construct an exponential attractor of optimal (with respect to the dissipation parameter) fractal dimension for dissipative reaction-diffusion systems without conditions on the growth of the nonlinear term. (~) 2003 Elsevier Science Ltd. All rights reserved.