1 citations · 2 across the 11 of their papers we have counts for
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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…