Maslov's canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems

DOI10.1134/S0001434619090098zbMath1432.35025OpenAlexW2981615046WikidataQ127025363 ScholiaQ127025363MaRDI QIDQ2291197

Andrej I. Shafarevich, Vladimir E. Nazaikinskii

Publication date: 30 January 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619090098

zbMATH Keywords

hyperbolic equationhyperbolic systemlocalized solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential and Fourier integral operators on manifolds (58J40) Lagrangian submanifolds; Maslov index (53D12)

Related Items

Canonical operator on punctured Lagrangian manifolds ⋮ Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media ⋮ Conic Lagrangian varieties and localized asymptotic solutions of linearized equations of relativistic gas dynamics

Cites Work

• 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
• Fourier integral operators and the canonical operator
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item