Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks
DOI10.1007/S10440-021-00456-9zbMath1482.35140arXiv2012.05638OpenAlexW4220899348MaRDI QIDQ2073593
Publication date: 3 February 2022
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.05638
Fourier transforminitial boundary value probleminterface problemunified transform methodspectral method for PDE
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Integral representations of solutions to PDEs (35C15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Initial-boundary value problems for linear higher-order PDEs (35G16)
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- Evolution PDEs and augmented eigenfunctions. half-line
- The linear KdV equation with an interface
- Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation
- An example where separation of variables fails
- The diffusion equation with nonlocal data
- Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transforms
- Evolution PDEs and augmented eigenfunctions. Finite interval
- Irregular boundary value problems revisited
- Boundary value problems for Boussinesq type systems
- Multilayer diffusion in a composite medium with imperfect contact
- Heat conduction on the ring: interface problems with periodic boundary conditions
- The lack of self-adjointness in three-point boundary value problems
- Self-adjointness for multi-point differential operators
- On the integrability of linear and nonlinear partial differential equations
- Spectral theory of some non-selfadjoint linear differential operators
- 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
- Heat equation on a network using the Fokas method
- Eigenvalues and completeness for regular and simply irregular two-point differential operators
- 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-posed boundary value problems for linear evolution equations on a finite interval
- On the zeros of exponential sums and integrals
- Fokas’s Unified Transform Method for linear systems
- A numerical implementation of the unified Fokas transform for evolution problems on a finite interval
- The time-dependent Schrödinger equation with piecewise constant potentials
- Linear evolution equations on the half-line with dynamic boundary conditions
- Evolution partial differential equations with discontinuous data
- Gibbs Phenomenon for Dispersive PDEs on the Line
- Nonlocal and Multipoint Boundary Value Problems for Linear Evolution Equations
- 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
- The Lack of Self-Adjointness in Three Point Boundary Value Problems
- A transform method for linear evolution PDEs on a finite interval
- Accurate solution method for the Maxey–Riley equation, and the effects of Basset history
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