Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (4): 410-430.doi: 10.13371/j.cnki.chin.q.j.m.2019.04.007

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Asymptotic Behavior for A Class of Non-autonomous Nonclassical Parabolic Equations with Delay on Unbounded Domain

  

  1. 1. Regional Circular Economy key Laboratory of Gansu Higher InstitutionsDepartment of Mathematics,Longqiao   2. College of Lanzhou University of Finance and EconomicsDepartment of Basic Courses,Gansu Institute of Architectural Technology
  • Received:2018-12-14 Online:2019-12-30 Published:2020-08-21
  • Contact: ZHANG Fang-hong (1984-), femal, native of Lanzhou, Gansu, lecture of Longqiao College of Lanzhou University of Finance and Economics, engages in dynamical systems; BAI Li-hong (1980-), femal, native of Lanzhou, Gansu, lecture of Gansu Institute of Architechtural Technology, engages in dynamical systems.
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Abstract: In this article,we investigate the longtime behavior for the following non autonomous nonclassical parabolic equations on unbounded domain ut-△ut-△u+λu=f(x,u(x,t-ρ(t)))+g(x,t)Under some suitable conditions on the delay term f and the non-autonomous forcing term g,we prove the existence of uniform attractors in Banach space CH1(RN for the multivalued process generated by non-autonomous nonclassical parabolic equations with delays in unbounded domain.

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