Generalised Dirichlet to Neumann maps for linear dispersive equations on half-line

DOI10.1017/S0305004117000093zbMath1395.35073arXiv1409.2083OpenAlexW2963646130MaRDI QIDQ4575301

Zi-Peng Wang, Athanassios S. Fokas

Publication date: 13 July 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2083

zbMATH Keywords

unified transform method

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Solutions to PDEs in closed form (35C05) Initial-boundary value problems for linear higher-order PDEs (35G16)

Related Items (1)

Integral representations for the double-diffusivity system on the half-line

Cites Work

• Unnamed Item
• On the integrability of linear and nonlinear partial differential equations
• The nonlinear Schrödinger equation on the half-line
• Spectral theory of some non-selfadjoint linear differential operators
• The unified method for the heat equation: I. non-separable boundary conditions and non-local constraints in one dimension
• Well-posed two-point initial-boundary value problems with arbitrary boundary conditions
• The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions
• Synthesis, as Opposed to Separation, of Variables
• A Unified Approach to Boundary Value Problems
• Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations
• The Heat Equation in the Interior of an Equilateral Triangle
• Asymptotics of linear initial boundary value problems with periodic boundary data on the half-line and finite intervals
• A unified transform method for solving linear and certain nonlinear PDEs
• A new transform method for evolution partial differential equations
• Well-posed boundary value problems for linear evolution equations on a finite interval
• The unified transform for the heat equation: II. Non-separable boundary conditions in two dimensions
• A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line
• 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

This page was built for publication: Generalised Dirichlet to Neumann maps for linear dispersive equations on half-line