Nodal sets of Laplace eigenfunctions under small perturbations

18 Nov 2020 Mukherjee Mayukh Saha Soumyajit

We study the stability properties of nodal sets of Laplace eigenfunctions on compact manifolds under specific small perturbations. We prove that nodal sets are fairly stable if said perturbations are relatively small, more formally, supported at a sub-wavelength scale... (read more)

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  • ANALYSIS OF PDES
  • FUNCTIONAL ANALYSIS
  • SPECTRAL THEORY