Corpus ID: 235166755

The Bilaplacian with Robin boundary conditions

  title={The Bilaplacian with Robin boundary conditions},
  author={Davide Buoso and James B. Kennedy},
We introduce Robin boundary conditions for biharmonic operators, which are a model for elastically supported plates and are closely related to the study of spaces of traces of Sobolev functions. We study the dependence of the operator, its eigenvalues, and eigenfunctions on the Robin parameters. We show in particular that when the parameters go to plus infinity the Robin problem converges to other biharmonic problems, and obtain estimates on the rate of divergence when the parameters go to… Expand
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