Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients

@article{Suslina2017HomogenizationOT,
  title={Homogenization of the Neumann problem for higher order elliptic equations with periodic coefficients},
  author={T. A. Suslina},
  journal={Complex Variables and Elliptic Equations},
  year={2017},
  volume={63},
  pages={1185 - 1215}
}
  • T. Suslina
  • Published 21 May 2017
  • Mathematics
  • Complex Variables and Elliptic Equations
Let be a bounded domain of class . In , we study a self-adjoint strongly elliptic operator of order 2p given by the expression , , with Neumann boundary conditions. Here, is a bounded and positive definite matrix-valued function in , periodic with respect to some lattice; is a differential operator of order p. The symbol is subject to some condition ensuring strong ellipticity of the operator . We find approximations for the resolvent in different operator norms with error estimates depending… 
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