Uniformization and semiclassical asymptotics for a class of equations degenerating on the boundary of a manifold

DOI10.1007/s10958-023-06363-8OpenAlexW4362609237MaRDI QIDQ2698978

Anton A. Tolchennikov, A. Yu. Anikin, S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii

Publication date: 25 April 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06363-8

zbMATH Keywords

Maslov canonical operatorliftings of operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lagrangian submanifolds; Maslov index (53D12)

Cites Work

• Reduction of symplectic manifolds with symmetry
• Signatures and higher signatures of \(S^1\)-quotients
• On the asymptotics of a Bessel-type integral having applications in wave run-up theory
• Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem
• Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics
• The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary
• Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach
• On an elliptic operator degenerating on the boundary
• New integral representations of the Maslov canonical operator in singular charts
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Uniformization and semiclassical asymptotics for a class of equations degenerating on the boundary of a manifold