Degenerate wave equation with localized initial data: asymptotic solutions corresponding to various self-adjoint extensions

DOI10.1134/S0001434611050166zbMath1234.35149OpenAlexW1981287300MaRDI QIDQ650492

Vladimir E. Nazaikinskii

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611050166

zbMATH Keywords

wave equationasymptoticsCauchy problemdegenerationFriedrichs extensionself-adjoint extensionMaslov canonical operatorlocalized initial data

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (3)

Lagrangian tori and quantization conditions corresponding to spectral series of the Laplace operator on a surface of revolution with conical points ⋮ The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary ⋮ Maslov's canonical operator for degenerate hyperbolic equations

Cites Work

• Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I
• Asymptotics of localized solutions of the one-dimensional wave equation with variable velocity. I: The Cauchy problem
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