Development of Maslov's approach to the construction of nonoscillating WKB-type solutions

DOI10.1134/S1061920821020047zbMath1468.35006OpenAlexW3171190451MaRDI QIDQ2037774

Yanyan Li

Publication date: 8 July 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920821020047

zbMATH Keywords

Maslov tunnel canonical operator

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Degenerate parabolic equations (35K65) Asymptotic expansions of solutions to PDEs (35C20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Cites Work

• Tunnel canonical operator in thermodynamics
• A representation of the delta function via creation operators and Gaussian exponentials, and multiplicative fundamental solution asymptotics for some parabolic pseudodifferential equations
• Fourier integral operators. I
• Local solvability of a class of partial differential equations with multiple characteristics
• Exact Asymptotics of the Density of the Transition Probability for Discontinuous Markov Processes
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