Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients.

DOI10.1016/S0022-0396(03)00192-XzbMath1036.31005MaRDI QIDQ1416456

Tetsuo Tsuchida, Minoru Murata

Publication date: 14 December 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Martin boundaryGreen functionelliptic equationMartin compactification

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) General theory of partial differential operators (47F05) Martin boundary theory (31C35) Boundary behavior of harmonic functions in higher dimensions (31B25) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items

Positive solutions of Schrödinger equations in product form and Martin compactifications of the plane ⋮ Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries ⋮ Green's function asymptotics of periodic elliptic operators on abelian coverings of compact manifolds ⋮ Positive solutions of Schrödinger equations in product form and Martin compactifications of the plane. II ⋮ Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral edge case ⋮ A parabolic approach to Martin boundaries for elliptic equations in skew product form ⋮ Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds ⋮ Parabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficients ⋮ An overview of periodic elliptic operators

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