Maslov's canonical operator for degenerate hyperbolic equations

DOI10.1134/S1061920814020125zbMath1316.35207OpenAlexW1987591266MaRDI QIDQ2344158

Vladimir E. Nazaikinskii

Publication date: 12 May 2015

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

Full work available at URL: https://doi.org/10.1134/s1061920814020125

zbMATH Keywords

asymptotic solutionsdegeneration on the boundary

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Degenerate hyperbolic equations (35L80)

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Cites Work

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• Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I
• Degenerate wave equation with localized initial data: asymptotic solutions corresponding to various self-adjoint extensions
• Phase space geometry for a wave equation degenerating on the boundary of the domain
• Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data
• Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data
• Localized solutions of one-dimensional non-linear shallow-water equations with velocity $ c=\sqrt x$

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