Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (3): 365-369.

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A Decay Result to an Elliptic Equation with Dynamical Boundary Condition

  

  1. Department of Mathematics, Henan University of Technology

  • Received:2006-10-24 Online:2009-09-30 Published:2023-06-27
  • About author: HU Qing-ying(1966- ), female, native of Fugou, Henan, an associate professor of Henan University of Technology, engages in PDE.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10671182); Supported by the Natural Science Foundation of Henan Province(0611053300; 200510463024); Supported by the Young Skeleton Teacher Project of the Higher School of Henan Province;

Abstract: The decay estimations of the solution to an elliptic equation with dynamical boundary condition is considered. We proved that, for suitable initial datum, the energy of the solution decays "in time" exponentially if p=0,whereas the decay is polynomial order if p>0.

Key words: elliptic equation, dynamical boundary condition, decay

CLC Number: