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Global Attractors for a Nonclassical Diffusion Equation |
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| Authors: | Chun You Sun Su Yun Wang Cheng Kui Zhong |
| Institution: | (1) School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P. R. China;(2) School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P. R. China;(3) Department of Mathematics, Lanzhou Teachers College, Lanzhou, 730070, P. R. China;(4) School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, P. R. China |
| Abstract: | We prove the existence of global attractors in
for a nonclassical diffusion equation. Two types of nonlinearity f are considered: one is the critical exponent, and the other is the polynomial growth of arbitrary order.
Supported in part by the NSFC, Grant (10471056) and Trans-Century Training Programme Foundation for the Talents of the State
Education Commission |
| Keywords: | nonclassical diffusion equation critical exponent polynomial growth of arbitrary order global attractor asymptotic a priori estimate |
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