On a Mixed Problem for a Hyperbolic Equation with a Discontinuity in the Principal Coefficients

DOI10.1112/PLMS/S3-46.1.137zbMath0505.35018OpenAlexW2129302486MaRDI QIDQ4740881

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Publication date: 1983

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-46.1.137

zbMATH Keywords

discrete spectrummixed problemcomplex eigenvaluesresidue theoremmethod of contour integrationdiscontinuity in the principal coefficientsnon-modal eigenfunctions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Series solutions to PDEs (35C10) Laplace transform (44A10) Initial value problems for second-order hyperbolic equations (35L15)

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