Quasiclassical asymptotics for solutions of the matrix conjugation problem with rapid oscillation of off-diagonal entries

DOI10.1090/S1061-0022-2014-01286-1zbMath1311.35174MaRDI QIDQ2930916

A. M. Budylin

Publication date: 20 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

singular integral equationsquasiclassical asymptoticsnonlinear equations of mathematical physicsmatrix conjugation problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Riemann-Hilbert problems in context of PDEs (35Q15) Singular integral equations (45E99)

Cites Work

• Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• A Nonlinear Stationary Phase Method for Oscillatory Riemann-Hilbert Problems
• Asymptotics of oscillatory Riemann–Hilbert problems
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