For a time-periodic reaction-diffusion equation on the circle,the existence of a global at-tractor was proved under dissipative assumptions.Firstly,a suitable fractional power space was es-tablished in this paper,and by using the operator semigroup theory it can be proved that the equation has a global solution in the space.Next,based on the global solution,the Poincaré map was defined,which can generate a discrete semiflow.Finally,the existence of the global attractor was obtained from the compactness and point dissipativity of the discrete semiflow.
关键词
反应扩散方程/周期系统/全局吸引子/分数幂空间
Key words
reaction-diffusion equation/periodic system/global attractor/fractional power space
维普
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