The complex reflection method for some classes of equations with the third derivative distinguished

Yu. V. Zasorin

Voronezh State University

Abstract: We suggest a method for constructing the Green's functions for boundary-value problems in “half-space” type domains for some classes of partial differential equations whose third derivative with respect to the first spatial variable is distinguished, give formulas for exact solutions, and prove uniqueness theorems in the Schwartz spaces.

Keywords: viscous transonic equation, fundamental solution, Green's function, tempered distribution.

UDC: 517.9

Received: 29.03.2002
Revised: 20.04.2004

 English version: Siberian Mathematical Journal, 2004, 45:5, 883–893

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