Fokas method for linear boundary value problems involving mixed spatial derivatives

DOI10.1098/RSPA.2020.0076zbMath1472.35210arXiv2002.01057OpenAlexW3045942965WikidataQ98649553 ScholiaQ98649553MaRDI QIDQ5161009

Ahmet Batal, Türker Özsarı, Athanassios S. Fokas

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01057

zbMATH Keywords

differential equationsanalysisFokas methodapplied mathematicsmixed derivativesunified transform methodanalyticity issues

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces ⋮ Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line ⋮ The Majda-Biello system on the half-line ⋮ Integral representations for the double-diffusivity system on the half-line ⋮ The Neumann and Robin problems for the Korteweg–de Vries equation on the half-line

Cites Work

• Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
• The Kadomtsev-Petviashvili II equation on the half-plane
• The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line
• The ``good Boussinesq equation on the half-line
• The Davey-Stewartson equation on the half-plane
• The nonlinear Schrödinger equation on the half-line
• A Unified Approach to Boundary Value Problems
• A unified transform method for solving linear and certain nonlinear PDEs
• A new transform method for evolution partial differential equations
• Well-posedness of the nonlinear Schrödinger equation on the half-plane
• On the Initial‐Boundary Value Problem for the Linearized Boussinesq Equation
• The Korteweg-de Vries equation on an interval
• The Method of Fokas for Solving Linear Partial Differential Equations

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