Maslov, V. P. Non-standard characteristics in asymptotic problems. (English. Russian original) Zbl 0562.35007 Russ. Math. Surv. 38, No. 6, 1-42 (1983); translation from Usp. Mat. Nauk. 38, No. 6(234), 3-36 (1983). The author gives a more general definition of characteristics. Using this definition it is possible to connect different domains of mathematics and physics. The paper contains principal ideas connected with the construction of non-standard characteristics and the solution of suitable asymptotic problems. The author presents a lot of examples. The paper is some kind of a survey. Reviewer: W.Okrasiński Cited in 1 ReviewCited in 18 Documents MSC: 35A30 Geometric theory, characteristics, transformations in context of PDEs 35S05 Pseudodifferential operators as generalizations of partial differential operators 47Gxx Integral, integro-differential, and pseudodifferential operators 58J40 Pseudodifferential and Fourier integral operators on manifolds Keywords:characteristics; non-standard characteristics; asymptotic problems; survey PDFBibTeX XMLCite \textit{V. P. Maslov}, Russ. Math. Surv. 38, No. 6, 1--42 (1983; Zbl 0562.35007); translation from Usp. Mat. Nauk. 38, No. 6(234), 3--36 (1983) Full Text: DOI