Evolution PDEs and augmented eigenfunctions. Finite interval

zbMath1375.35283arXiv1303.2205MaRDI QIDQ1683482

David Andrew Smith, Athanassios S. Fokas

Publication date: 1 December 2017

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2205

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Integral representations of solutions to PDEs (35C15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (7)

Evolution PDEs and augmented eigenfunctions. half-line ⋮ 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 ⋮ Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach ⋮ The diffusion equation with nonlocal data ⋮ Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks

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