Estimates for the asymptotic behavior of solutions of the Helmholtz equation, with an application to second order elliptic differential operators with variable coefficients

DOI10.1007/BF01174802zbMath0407.35016OpenAlexW2089118484WikidataQ115393961 ScholiaQ115393961MaRDI QIDQ1258033

Hans-Dieter Alber

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172849

zbMATH Keywords

SpectrumPerturbation TheoryHelmholtz EquationFredholm AlternativeAsymptotic Behavior of SolutionsAsymptotic Expansions of Bessel FunctionsSecond Order Elliptic Differential Operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• The principle of limiting absorption for second-order differential equations with operator-valued coefficients
• On the Asymptotic Solutions of Ordinary Differential Equations, With an Application to the Bessel Functions of Large Order

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