Pullback attractors for the norm-to-weak continuous process and application to the nonautonomous reaction–diffusion equations |
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| Authors: | Yongjun Li Chengkui Zhong |
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| Affiliation: | aSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China;bDepartment of Mathematics, Lanzhou City University, Lanzhou 730070, PR China |
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| Abstract: | In this paper, we introduce the concept of norm-to-weak continuous process in a Banach space, and obtain the existence of pullback attractors for this kind of process. Then we give a new method for proving the existence of the pullback attractors. As an application, we obtain the existence of pullback attractors for nonautonomous reaction–diffusion equation in with exponential growth of the external force. |
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| Keywords: | Nonautonomous dynamical system Pullback attractors Measure of noncompactness Pullback -limit Compact Condition (PDC) Reaction– diffusion equations |
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