Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics

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

zbMATH Keywords

wave equationsymplectic reductionpseudo-differential operatorcanonical operator

Mathematics Subject Classification ID

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)

Related Items (5)

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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