Maslov, V. P.; Nazaĭkinskiĭ, V. E. Asymptotics for equations with singularities in the characteristics. (English) Zbl 0503.35037 Math. USSR, Izv. 19, 315-347 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 35J70 Degenerate elliptic equations 35A30 Geometric theory, characteristics, transformations in context of PDEs 35L80 Degenerate hyperbolic equations 58J40 Pseudodifferential and Fourier integral operators on manifolds 35A20 Analyticity in context of PDEs 58J42 Noncommutative global analysis, noncommutative residues 35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs 35A35 Theoretical approximation in context of PDEs Keywords:explicit expressions for parametrices; formal asymptotic solution; wave front; quantization of the canonical transformations; sheaves of fast- oscillating functions; quantized Lagrange submanifolds; asymptotic representations of Poisson algebras; symplectic manifold Citations:Zbl 0484.35009 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, Math. USSR, Izv. 19, 315--347 (1982; Zbl 0503.35037) Full Text: DOI