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Asymptotic behavior of the spectra of diffraction problems

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Publication:1069055
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DOI10.1007/BF01372202zbMath0582.35098OpenAlexW1966453046MaRDI QIDQ1069055

Yu. G. Safarov

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01372202


zbMATH Keywords

asymptotics of eigenvaluestransmission problemsgeodesic billiardwave equation method


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Diffraction, scattering (78A45) Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items (1)

Propagation of the singularities of solutions of initial-boundary-value problems for first-order hyperbolic systems



Cites Work

  • Number of lattice points in families of homothetic domains in \(R^ n\)
  • The spectrum of positive elliptic operators and periodic bicharacteristics
  • Propagation, reflection, and diffraction of singularities of solutions to wave equations


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