Green's functions for polynomials in the Laplacian
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Publication:2564746
DOI10.1007/BF00916651zbMath0861.35019MaRDI QIDQ2564746
Publication date: 15 January 1997
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Higher-order elliptic equations (35J30) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)
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Liouville-type results for spherical symmetric linear differential operators with constant coefficients ⋮ Steady state solutions for the Gierer-Meinhardt system in the whole space ⋮ Representation formulae for nonhomogeneous differential operators and applications to PDEs ⋮ Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation ⋮ Convergence rates in almost-periodic homogenization of higher-order elliptic systems ⋮ Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation ⋮ Rapid zonal algorithm for polyelliptic PDEs in domains with high aspect ratio. ⋮ On a generalization of the generating function for Gegenbauer polynomials
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