Corpus ID: 231741233

Edge states for second order elliptic operators

@inproceedings{Gontier2021EdgeSF,
  title={Edge states for second order elliptic operators},
  author={David Gontier},
  year={2021}
}
We present a general framework to study edge states for second order elliptic operators. We associate an integer valued index to some bulk materials, and we prove that for any junction between two such materials, localised states must appear at the boundary whenever the indices differ. © 2020 by the author. This paper may be reproduced, in its entirety, for non-commercial purposes. 
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