Remarks on the thin obstacle problem and constrained Ginibre ensembles

@article{Karakhanyan2017RemarksOT,
  title={Remarks on the thin obstacle problem and constrained Ginibre ensembles},
  author={Aram L. Karakhanyan},
  journal={Communications in Partial Differential Equations},
  year={2017},
  volume={43},
  pages={616 - 627}
}
  • A. Karakhanyan
  • Published 1 February 2017
  • Mathematics
  • Communications in Partial Differential Equations
ABSTRACT We consider the problem of constrained Ginibre ensemble with prescribed portion of eigenvalues on a given curve Γ⊂ℝ2 and relate it to a thin obstacle problem. The key step in the proof is the H1 estimate for the logarithmic potential of the equilibrium measure. The coincidence set has two components: one in Γ and another one in ℝ2∖Γ which are well separated. Our main result here asserts that this obstacle problem is well posed in which improves previous results in . 
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