Fokas’s Unified Transform Method for linear systems

DOI10.1090/qam/1484zbMath1407.35004arXiv1705.00358OpenAlexW2963578704MaRDI QIDQ4563558

Vishal Vasan, Eli Shlizerman, Qi Guo, Bernard Deconinck

Publication date: 1 June 2018

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00358

zbMATH Keywords

Klein-Gordon equationconstant-coefficient linear partial differential equationslinearized FitzHugh-Nagumo system

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Transform methods (e.g., integral transforms) applied to PDEs (35A22) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Related Items (7)

Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line ⋮ Integral representations for the double-diffusivity system on the half-line ⋮ The Fokas method for integrable evolution equations on a time-dependent interval ⋮ Non-homogeneous wave equation on a cone ⋮ Accurate solution method for the Maxey–Riley equation, and the effects of Basset history ⋮ Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks ⋮ Extended water wave systems of Boussinesq equations on a finite interval: theory and numerical analysis

Cites Work

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• A new transform method for evolution partial differential equations
• Elliptic equations with low regularity boundary data via the unified method
• The Klein-Gordon Equation on the Half Line: a Riemann-Hilbert Approach
• The Method of Fokas for Solving Linear Partial Differential Equations
• Boundary value problems for systems of linear evolution equations

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