Evolution PDEs and augmented eigenfunctions. half-line

DOI10.4171/JST/123zbMath1338.35309arXiv1408.3657OpenAlexW2963721725MaRDI QIDQ294070

Beatrice Pelloni, David Andrew Smith

Publication date: 9 June 2016

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3657

zbMATH Keywords

initial-boundary value problemgeneralised eigenfunction expansionspectral theory of non-self-adjoint differential operator

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Integral representations of solutions to PDEs (35C15) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (5)

Linear evolution equations on the half-line with dynamic boundary conditions ⋮ A numerical implementation of the unified Fokas transform for evolution problems on a finite interval ⋮ Integral representations for the double-diffusivity system on the half-line ⋮ The diffusion equation with nonlocal data ⋮ Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks

Uses Software

• Eigtool

Cites Work

• Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation
• Evolution PDEs and augmented eigenfunctions. Finite interval
• Boundary value problems for Boussinesq type systems
• Well-posed two-point initial-boundary value problems with arbitrary boundary conditions
• Synthesis, as Opposed to Separation, of Variables
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