On the asymptotics of solutions of elliptic equations at the ends of non-compact Riemannian manifolds with metrics of a special form

DOI10.1070/IM8720zbMath1415.58013OpenAlexW2905855098WikidataQ115325692 ScholiaQ115325692MaRDI QIDQ5742967

Aleksandr Nikolaevich Kondrashov

Publication date: 8 May 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8720

zbMATH Keywords

non-compact Riemannian manifoldgeneralized Cauchy problemend of a manifoldspectral equationasymptotic distinguishability

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Boundary value problems on manifolds (58J32)

Cites Work

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• Function theory on manifolds which possess a pole
• A unique continuation theorem for exterior differential forms on Riemannian manifolds
• Removable singularities of solutions of linear uniformly elliptic second order equations
• Structure of positive solutions to \((-\Delta +V)u=0\) in \(R^ n\)
• The Cauchy problem for the Laplace equation with three independent variables
• On the hyperbolicity criterion for noncompact Riemannian manifolds of special type
• Solvability of the Dirichlet problem for the Poisson equation on some noncompact Riemannian manifolds
• Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations
• On some Liouville theorems on noncompact Riemannian manifolds
• Uniqueness of \({L}^{1}\) harmonic functions on rotationally symmetric Riemannian manifolds
• Representation of harmonic functions as potentials and the Cauchy problem
• Cauchy problem for one class of elliptic and degenerate equations
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• UNIFORM BOUNDS FOR EIGENFUNCTIONS OF THE LAPLACIAN ON MANIFOLDS WITH BOUNDARY*
• POSITIVE SOLUTIONS OF SECOND ORDER ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS
• ON THE POSSIBLE RATE OF DECAY AT INFINITY OF SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
• Eigenfunctions of the Laplacian on rotationally symmetric manifolds
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• MAXIMAL TUBES AND BANDS IN MINKOWSKI SPACE
• Some criteria for parabolicity and hyperbolicity of the boundary sets of surfaces
• The $L^2$-harmonic forms on rotationally symmetric Riemannian manifolds revisited

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