An Existence Condition for Global Attractor of Time-Periodic Reaction-Diffusion Equations on the Circle
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.
reaction-diffusion equationperiodic systemglobal attractorfractional power space
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维普
