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Fundamental solutions for second order linear elliptic partial differential equations. (English) Zbl 0914.35003

Summary: This paper is concerned with outlining some fundamental solutions and Green’s functions for a system of second order linear elliptic partial differential equations in two independent variables. The fundamental solution and a number of Green’s functions are given in relatively elementary closed form for some cases when the coefficients in the equations are constant. When the coefficients are variable the fundamental solution is obtained for some particular classes of equations.

MSC:

35A08 Fundamental solutions to PDEs
35J45 Systems of elliptic equations, general (MSC2000)
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