Revivals, or the Talbot effect, for the Airy equation

DOI10.1111/SAPM.12699zbMATH Open1547.35185MaRDI QIDQ6590522

B. Pelloni, David A. Smith

Publication date: 21 August 2024

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

fractalizationweak cusp revival phenomenon

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Initial-boundary value problems for linear higher-order PDEs (35G16)

Cites Work

• On the zeros of exponential sums and integrals.
• Expansion Problems with irregular boundary conditions.
• Evolution PDEs and augmented eigenfunctions. Finite interval
• Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks
• Dispersive partial differential equations. Wellposedness and applications
• Complex root finding algorithm based on Delaunay triangulation
• Spectral theory of some non-selfadjoint linear differential operators
• Well-posed two-point initial-boundary value problems with arbitrary boundary conditions
• Dispersive Quantization
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• New revival phenomena for linear integro–differential equations
• Revivals and fractalisation in the linear free space Schrödinger equation
• The Method of Fokas for Solving Linear Partial Differential Equations
• 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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