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Correctors for the Nonlinear Wave Equations in Perforated Domains

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Abstract

In this paper, we are concerned with a nonlinear hyperbolic problem in periodically perforated domains with a homogeneous Neumann condition on the holes. By the periodic unfolding method, we derive the corrector results for the homogenization of this problem.

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Acknowledgments

The authors would like to thank Professor Patrizia Donato and Professor Alain Damlamian for some valuable discussions on this subject. The authors are also indebted to the referees for many useful suggestions and comments.

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Authors and Affiliations

  1. Department of Mathematics, South-Central University for Nationalities, Wuhan, 430074, China

    Zhanying Yang

  2. Department of Mathematics, Xinxiang University, Xinxiang, 453000, China

    Yunxia Yu

Authors
  1. Zhanying Yang
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  2. Yunxia Yu
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Corresponding author

Correspondence to Zhanying Yang.

Additional information

Communicated by Syakila Ahmad.

This research is supported by National Natural Science Foundation of China (Grant No. 11401595).

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Yang, Z., Yu, Y. Correctors for the Nonlinear Wave Equations in Perforated Domains. Bull. Malays. Math. Sci. Soc. 41, 1343–1359 (2018). https://doi.org/10.1007/s40840-016-0395-2

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  • DOI: https://doi.org/10.1007/s40840-016-0395-2

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