Continuous spectrum eigenfunction expansions and the Cauchy problem in L 1

DOI10.1098/rspa.1993.0070zbMath0828.35086OpenAlexW2038324693MaRDI QIDQ4277890

Robert M. Kauffman, David E. Edmunds

Publication date: 9 February 1994

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1993.0070

zbMATH Keywords

Cauchy problemkernel functionapproximation of the solution by finite sumscontinuous spectrum eigenfunction expansion

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Higher-order parabolic equations (35K25) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)