9 citations · 32 across the 18 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Zero Initial Data
Dimitra C. Antonopoulou, Spyridon Kamvissis
Initial-boundary value problems for 1-dimensional `completely integrable' equations can be solved via an extension of the inverse scattering method, which is due to Fokas and his c…
On the Dirichlet to Neumann Problem for the 1-dimensional Cubic NLS equation on the Half-Line; Non-zero Initial Data
Dimitra C. Antonopoulou, Spyridon Kamvissis
Initial-boundary value problems for 1-dimensional `completely integrable' equations can be solved via an extension of the inverse scattering method, which is due to Fokas and his c…
The Focusing NLS Equation on the Half-Line with Periodic Boundary Conditions
S. Kamvissis, A. S. Fokas
We consider the Dirichlet problem for the focusing NLS equation on the half-line, with given Schwartz initial data and boundary data equal to an exponentially decaying per…
Weak Convergence and Deterministic Approach to Turbulent Diffusion
Claude Bardos, Jean Michel Ghidaglia, Spyridon Kamvissis
The purpose of this contribution is to show that some of the basic ideas of turbulence can be addressed in a deterministic setting instead of introducing random realizations of the…