Well-posed two-point initial-boundary value problems with arbitrary boundary conditions

DOI10.1017/S030500411100082XzbMath1242.35100arXiv1104.5571OpenAlexW2130166197MaRDI QIDQ2883239

David Andrew Smith

Publication date: 11 May 2012

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

Full work available at URL: https://arxiv.org/abs/1104.5571

zbMATH Keywords

one space dimensionlinear evolution equationsFokas' transform methodarbitrary spatial order

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Meromorphic functions of one complex variable (general theory) (30D30) Initial-boundary value problems for linear higher-order PDEs (35G16)

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Cites Work

• Two–dimensional linear partial differential equations in a convex polygon
• Well-posed boundary value problems for linear evolution equations on a finite interval
• On the zeros of exponential sums and integrals
• 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