Norm-resolvent convergence for Neumann Laplacians on manifolds thinning to graphs

Research output: Working paper / PreprintPreprint

Abstract

Norm-resolvent convergence with order-sharp error estimate is established for Neumann Laplacians on thin domains in $\mathbb{R}^2$ and $\mathbb{R}^3$, converging to metric graphs in the limit of vanishing thickness parameter in the resonant case.
Original languageEnglish
Publication statusPublished - 9 May 2022

Keywords

  • math.AP
  • math.SP

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