3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2025
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…