This article is cited in 9 papers

Asymptotic solutions of equations with complex characteristics

V. V. Kucherenko


Abstract: In this paper we give a method for constructing formal asymptotic solutions. This method uses in some sense “approximate solutions” of the equation of the characteristics and the transport equation. The construction of approximate solutions is brought abount by means of an analogue of the analytic Hamiltonian formalism in a complex phase space.
Bibliography: 19 titles.

UDC: 517.9

MSC: Primary 58G99, 35G10, 35J10, 35S10; Secondary 58F05, 35C99, 81A10, 70H99, 78A45

Received: 07.06.1973

 English version: Mathematics of the USSR-Sbornik, 1974, 24:2, 159–207

Bibliographic databases:

• 
•