Nikos Katzourakis

activity

20182025

most citedOn isosupremic vectorial minimisation problems in

L^{\infty}

with general nonlinear constraints

1 citations · 1 across the 3 of their papers we have counts for

collaborators

8 papers

math.AP2025

On Second-Order $L^{\infty}$ Variational Problems with Lower-Order Terms

Ben Dutton, Nikos Katzourakis

In this paper we study $2$ nd order $L^{\infty}$ variational problems, through seeking to minimise a supremal functional involving the Hessian of admissible functions as well as lower…

math.AP2022★ 1 cited

On isosupremic vectorial minimisation problems in $L^{\infty}$ with general nonlinear constraints

Ed Clark, Nikos Katzourakis

We study minimisation problems in $L^{\infty}$ for general quasiconvex first order functionals, where the class of admissible mappings is constrained by the sublevel sets of another…

math.AP2021

Vectorial variational problems in $L^{\infty}$ constrained by the Navier-Stokes equations

Ed Clark, Nikos Katzourakis, Boris Muha

We study a minimisation problem in $L^{p}$ and $L^{\infty}$ for certain cost functionals, where the class of admissible mappings is constrained by the Navier-Stokes equations. Problems…

math.AP2020

On the inverse source identification problem in $L^{\infty}$ for fully nonlinear elliptic PDE

Birzhan Ayanbayev, Nikos Katzourakis

In this paper we generalise the results proved in [N. Katzourakis, An $L^{\infty}$ regularisation strategy to the inverse source identification problem for elliptic equations, SIAM J…

math.AP2018

Inverse optical tomography through PDE constrained optimisation in $L^{\infty}$

Nikos Katzourakis

Fluorescent Optical Tomography (FOT) is a new bio-medical imaging method with wider industrial applications. It is currently intensely researched since it is very precise and with…

math.AP2018

A minimisation problem in $L^{\infty}$ with PDE and unilateral constraints

Nikos Katzourakis

We study the minimisation of a cost functional which measures the misfit on the boundary of a domain between a component of the solution to a certain parametric elliptic PDE system…

On Second-Order L∞ Variational Problems with Lower-Order Terms

On isosupremic vectorial minimisation problems in L∞ with general nonlinear constraints

Vectorial variational problems in L∞ constrained by the Navier-Stokes equations

On the inverse source identification problem in L∞ for fully nonlinear elliptic PDE

Inverse optical tomography through PDE constrained optimisation in L∞

A minimisation problem in L∞ with PDE and unilateral constraints

On Second-Order $L^{\infty}$ Variational Problems with Lower-Order Terms

On isosupremic vectorial minimisation problems in $L^{\infty}$ with general nonlinear constraints

Vectorial variational problems in $L^{\infty}$ constrained by the Navier-Stokes equations

On the inverse source identification problem in $L^{\infty}$ for fully nonlinear elliptic PDE

Inverse optical tomography through PDE constrained optimisation in $L^{\infty}$

A minimisation problem in $L^{\infty}$ with PDE and unilateral constraints