Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics
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Publication:2192148
DOI10.1134/S0001434620050132zbMath1455.76019OpenAlexW3046906589MaRDI QIDQ2192148
S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii
Publication date: 29 June 2020
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434620050132
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)
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Asymptotic solutions of the Cauchy problem for the nonlinear shallow water equations in a basin with a gently sloping beach ⋮ Asymptotics of eigenfunctions of the bouncing ball type of the operator \(\nabla D(x)\nabla\) in a domain bounded by semirigid walls ⋮ Uniformization and semiclassical asymptotics for a class of equations degenerating on the boundary of a manifold ⋮ On an elliptic operator degenerating on the boundary ⋮ Representation of Bessel functions by the Maslov canonical operator
Cites Work
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- Geometric asymptotics for a degenerate hyperbolic equation
- Reduction of symplectic manifolds with symmetry
- Signatures and higher signatures of \(S^1\)-quotients
- New integral representations of the Maslov canonical operator in singular charts
- Uniformisation et développement asymptotique de la solution du problème de Cauchy linéaire, à données holomorphes ; analogie avec la théorie des ondes asymptotiques et approchées (Problème de Cauchy I bis et VI.)
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