Spectral theory of some non-selfadjoint linear differential operators

DOI10.1098/rspa.2013.0019zbMath1348.35149arXiv1205.4567OpenAlexW2001005647MaRDI QIDQ2831258

Beatrice Pelloni, David Andrew Smith

Publication date: 2 November 2016

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4567

zbMATH Keywords

initial-boundary value problemeigenfunction expansionlinear differential operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (5)

Linear evolution equations on the half-line with dynamic boundary conditions ⋮ Generalised Dirichlet to Neumann maps for linear dispersive equations on half-line ⋮ 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

Cites Work

• An example where separation of variables fails
• Well-posed two-point initial-boundary value problems with arbitrary boundary conditions
• Wild Spectral Behaviour of Anharmonic Oscillators
• The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations
• A transform method for linear evolution PDEs on a finite interval

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