An example where separation of variables fails

DOI10.1016/J.JMAA.2010.07.035zbMath1204.35014OpenAlexW2094889090MaRDI QIDQ711044

Vassilis G. Papanicolaou

Publication date: 25 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.035

zbMATH Keywords

biorthogonality of eigenfunctionsFokas' methodinitial/boundary value problem

Mathematics Subject Classification ID

Other special methods applied to PDEs (35A25) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (3)

Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach ⋮ Spectral theory of some non-selfadjoint linear differential operators ⋮ Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks

Cites Work

• Some counterexamples to separation of variables
• Integrable evolution equations in time-dependent domains
• 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
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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