Fundamental solutions of linear elliptic equations containing a small parameter

N. A. Ivanova

M. V. Lomonosov Moscow State University

Abstract: The author considers a linear elliptic equation with constant coefficients and a small parameter in the leading terms. The method of plane waves is used to construct a family of fundamental solutions for this equation, for which a theorem on its asymptotic expansion is proved.

UDC: 517.9

Received: 12.02.1968

 English version: Mathematical Notes, 1968, 4:4, 747–752

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