Analogue of Maslov's canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems

DOI10.1134/S1064562418020217zbMath1407.35028OpenAlexW2804619241MaRDI QIDQ721825

Vladimir E. Nazaikinskii, Andrej I. Shafarevich

Publication date: 20 July 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418020217

zbMATH Keywords

homogeneous manifoldsrapidly decaying functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General theory of partial differential operators (47F05) Momentum maps; symplectic reduction (53D20) Lagrangian submanifolds; Maslov index (53D12) Wave front sets in context of PDEs (35A18)

Related Items (4)

Canonical operator on punctured Lagrangian manifolds ⋮ Abnormal dispersion of fundamental Lamb modes in FG plates. II: Symmetric versus asymmetric variation ⋮ Maslov's canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems ⋮ Conic Lagrangian varieties and localized asymptotic solutions of linearized equations of relativistic gas dynamics

Cites Work

• New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems
• Logarithmic asymptotics of rapidly decreasing solutions of Petrovskij hyperbolic equations
• Representations of rapidly decaying functions by the Maslov canonical operator
• Contact geometry and linear differential equations
• Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients
• Unnamed Item

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