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Solution of the Cauchy problem for the wave equation on a cone with a non-Friedrichs Laplacian

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Publication:2701445
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DOI10.1134/S1061920822040173OpenAlexW4317877514MaRDI QIDQ2701445

Andrej I. Shafarevich, Al. A. Vlasov

Publication date: 28 April 2023

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920822040173



Mathematics Subject Classification ID

Harmonic analysis in one variable (42Axx) General topics in partial differential equations (35Axx) Integral transforms, operational calculus (44Axx)




Cites Work

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  • Diffractive propagation on conic manifolds
  • Noncompact Lagrangian manifolds corresponding to the spectral series of the Schrödinger operator with delta-potential on a surface of revolution
  • Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points
  • Semiclassical asymptotics of the solution to the Cauchy problem for the Schrödinger equation with a delta potential localized on a codimension 1 surface
  • Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold
  • Revisiting the orthogonality of Bessel functions of the first kind on an infinite interval
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