1 citations · 2 across the 11 of their papers we have counts for
12 papers
Initial-boundary value problems for linear lattice differential equations
Andreas Chatziafratis, Spyridon Kamvissis, Antonín Slavík
We study initial-boundary value problems for linear lattice differential equations on the half-line. We first give a systematic account of fundamental solutions for equations with…
On generalised d'Alembert-type integral representations for damped wave equations on the quarter-plane
Andreas Chatziafratis, Claudio Giorgi, Alain Miranville +1
We rigorously construct and verify a posteriori new closed-form solutions for the forced Maxwell-Cattaneo-Vernotte equation (also broadly known as the damped wave equation, hyperbo…
Integral Representations for Interface Problems for the Barenblatt-Sobolev-Galpern Pseudoparabolic Equation
Andreas Chatziafratis, Sergey A. Rukolaine, Elias C. Aifantis
We obtain novel integral representations, expressed as contour integrals in the complex Fourier plane, for the solution of fully nonhomogeneous initial-boundary-value as well as in…
Rigorous analysis for the Dirac system on the quarter-plane
Hassan Babaei, Jerry L. Bona, Andreas Chatziafratis
Considered and analyzed below are fully non-homogeneous initial-boundary-value problems for the celebrated Dirac system, formulated on the spatial half-line. Analytical solution fo…
The linear Cahn-Hilliard equation with an interface
Andreas Chatziafratis, Alain Miranville, Tohru Ozawa
We obtain new integral representations, expressed as contour integrals in the complex Fourier plane, for the solution of fully nonhomogeneous interface problems for the linearized…
Fokas-type closed-form solution formulae for Sobolev-type equations with time-dependent coefficients
Andreas Chatziafratis
We analytically derive novel explicit integral representations for the solution of nonhomogeneous initial-boundary-value problems for a large category of evolution partial differen…
Higher-order diffusion and Cahn-Hilliard-type models revisited on the half-line
A. Chatziafratis, A. Miranville, G. Karali +2
In this paper, we solve explicitly and analyze rigorously inhomogeneous initial-boundary-value problems (IBVP) for several fourth-order variations of the traditional diffusion equa…
Infinity of solutions to initial-boundary value problems for linear constant-coefficient evolution PDEs on semi-infinite intervals
Andreas Chatziafratis, Spyridon Kamvissis
In this short communication, we announce an algorithmic procedure for constructing non-uniqueness counter-examples of classical solutions to initial-boundary-value problems for a w…
Continuous dependence on data for linear evolution PDEs on the quarter-plane
Andreas Chatziafratis, Spyridon Kamvissis
In this note, we announce a systematic analysis of continuous dependence on the data in classical spaces for the initial-boundary-value problem of the diffusion equation on the hal…
Density in the half-line Schwartz space of functions whose Fourier-Laplace transform has natural boundary the real line
Andreas Chatziafratis, Telemachos Hatziafratis
In this note, we prove that the Fourier-Laplace transform of the typical function (i.e., generic in the sense of Baire category theorem) in the Schwartz class of the half-line, bei…
A note on uniqueness for linear evolution PDEs posed on the quarter-plane
Andreas Chatziafratis, Spyridon Kamvissis
In this paper, we announce a rigorous approach to establishing uniqueness results, under certain conditions, for initial-boundary-value problems for a class of linear evolution par…
Boundary behaviour of the solution of the heat equation on the half line via the Fokas unified transform method
Andreas Chatziafratis
We consider the Fokas method expression for the solution of the heat equation on the half line with Dirichlet data and we study in detail its boundary behaviour near the spatiotemp…