Green's Functions for Some Highly Degenerate Elliptic Operators

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Abstract

Exact fundamental solutions are found for operators Δx+x2k-2Δy in Rn+m. The kernels are algebraic functions for m even, and integrals of algebraic functions for m odd. © 1999 Academic Press.

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Beals, R., Greiner, P., & Gaveau, B. (1999). Green’s Functions for Some Highly Degenerate Elliptic Operators. Journal of Functional Analysis, 165(2), 407–429. https://doi.org/10.1006/jfan.1999.3421

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