Linear evolution equations on the half-line with dynamic boundary conditions

DOI10.1017/S0956792521000103zbMath1504.35011arXiv1910.08764OpenAlexW3159267892MaRDI QIDQ5056775

No author found.

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/1910.08764

zbMATH Keywords

fractional differential equationtime-dependent boundary conditionFokas transform method

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractional ordinary differential equations (34A08) Initial-boundary value problems for linear higher-order PDEs (35G16) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (1)

Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Evolution PDEs and augmented eigenfunctions. half-line
• Identification of the boundary heat transfer coefficient from interior measurement of temperature field
• The linear KdV equation with an interface
• The diffusion equation with nonlocal data
• Unsteady temperature field in slabs with different kinds of time-dependent boundary conditions
• Transient heat diffusion with temperature-dependent conductivity and time-dependent heat transfer coefficient
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Evolution PDEs and augmented eigenfunctions. Finite interval
• Integrable nonlinear evolution equations on the half-line
• Boundary value problems for the elliptic sine-Gordon equation in a semi-strip
• Solving PDEs of fractional order using the unified transform method
• Eigenvalues for the Laplace operator in the interior of an equilateral triangle
• On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains
• A theorem on the uniform convergence of Fourier-type integrals
• Two–dimensional linear partial differential equations in a convex polygon
• A transform method for Laplace's equation in multiply connected circular domains
• 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
• Synthesis, as Opposed to Separation, of Variables
• Heat diffusion with time-dependent convective boundary conditions
• Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc
• Analytic closed solution for the heat conduction with time dependent heat convection coefficient at one boundary
• Heat equation on a network using the Fokas method
• A Unified Approach to Boundary Value Problems
• 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 Technique for Elliptic PDEs
• A transform method for the biharmonic equation in multiply connected circular domains
• The time-dependent Schrödinger equation with piecewise constant potentials
• Extending the unified transform: curvilinear polygons and variable coefficient PDEs
• Evolution partial differential equations with discontinuous data
• Unified Transform for Boundary Value Problems
• Interface Problems for Dispersive Equations
• The nonlinear Schrödinger equation on the half-line
• On the rigorous foundations of the Fokas method for linear elliptic partial differential equations
• Nonlocal and Multipoint Boundary Value Problems for Linear Evolution Equations
• The Method of Fokas for Solving Linear Partial Differential Equations
• Accurate solution method for the Maxey–Riley equation, and the effects of Basset history
• The elliptic sine-Gordon equation in a half plane

This page was built for publication: Linear evolution equations on the half-line with dynamic boundary conditions