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Attractors for a Nonclassical Diffusion Equation

✍ Scribed by Yue-long Xiao

Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2002
Tongue
English
Weight
106 KB
Volume
18
Category
Article
ISSN
0168-9673

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πŸ“œ SIMILAR VOLUMES

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A class of nonlinear reaction-diffusion equations is studied. We prove that the semigroup of the solutions for the nonlinear reaction-diffusion equation has a global attractor in L 2 (R N ) under some weaker assumptions than those in other papers we could find.

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## Abstract In this paper, we consider a class of generalized diffusion equations which are of great interest in mathematical physics. For some of these equations that model fast diffusion, nonclassical and nonclassical potential symmetries are derived. These symmetries allow us to increase the num