ASYMPTOTIC DYNAMICS FOR REACTION DIFFUSION EQUATIONS IN UNBOUNDED DOMAIN

Yongjun Li; Jinying Wei

doi:10.11948/2018.1186

2018 Volume 8 Issue 4

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Yongjun Li, Jinying Wei. ASYMPTOTIC DYNAMICS FOR REACTION DIFFUSION EQUATIONS IN UNBOUNDED DOMAIN[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1186-1193. doi: 10.11948/2018.1186

Citation:

Yongjun Li, Jinying Wei. ASYMPTOTIC DYNAMICS FOR REACTION DIFFUSION EQUATIONS IN UNBOUNDED DOMAIN[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1186-1193. doi: 10.11948/2018.1186

ASYMPTOTIC DYNAMICS FOR REACTION DIFFUSION EQUATIONS IN UNBOUNDED DOMAIN

School of Mathematics, Lanzhou City University, No.11, Jiefang Road, 730070, China

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Abstract

Abstract

In this paper we study the asymptotic dynamics for reaction diffusion equation defined in Rn. We will prove that the equation possesses a fixed point when the nonlinearity satisfies some restrictive conditions and then we show that the fixed point is an exponential attractor.
- Reaction diffusion equation /
- semigroup /
- exponential attractor
MSC: 35K57;35B40;35B41

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References

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