Regularized asymptotics of the solution of a singularly perturbedmixed problem on the semiaxis for an equation of Schrodinger type in the presence of a strong turning point for the limit operator

DOI10.22405/2226-8383-2023-24-1-50-68MaRDI QIDQ6194083

A. G. Eliseev, P. V. Kirichenko

Publication date: 14 February 2024

Published in: Chebyshevskii Sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb1282

zbMATH Keywords

asymptotic solutionsingularly perturbed problemturning pointregularization method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for linear higher-order PDEs (35G16) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Nonsmooth eigenfunctions in problems of mathematical physics
• Regularization and asymptotic solutions of singularly perturbed problems with point singularities in the spectrum of the limiting operator
• Singularly perturbed Cauchy problem in which the limit operator has multiple spectrum and a weak first-order turning point
• THEORY OF SINGULAR PERTURBATIONS IN THE CASE OF SPECTRAL SINGULARITIES OF THE LIMIT OPERATOR
• Regularized asymptotics of solutions to integro-differential partial differential equations with rapidly varying kernels
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