Dimitrios Gazoulis

Post Doc at the University of Athens (EKPA)
E-mail address:

Postal address:
Department of Mathematics
University of Athens
15784 Athens
Greece

Applied analysis and PDEs seminar

Winter 2024 and Spring 2025 schedule of talks

Winter 2023 and Spring 2024 schedule of talks


Mini courses on Homogenization

Lecture notes on Homogenization


Research Articles

On the Γ-convergence of the Allen–Cahn functional with boundary conditions
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. (2024)p.1-23.

A Relation of the Allen–Cahn equations and the Euler equations and applications of the equipartition
Nonlinear Differ. Equ. Appl. 30, 81 (2023).

Entire Minimizers of Allen–Cahn Systems with Sub-Quadratic Potentials
(with N. Alikakos and A. Zarnescu)
J Dyn Diff Equat 36 (Suppl 1), 253–285 (2024).

Almost entire solutions of the Burgers equation
(with N. Alikakos)
Electron. J. Differential Equations, Vol. 2018 (2018), No. 53, pp. 1-6.


Preprints

Eigenvalue Inequalities for Fully Nonlinear Elliptic Equations via the Alexandroff-Bekelman-Pucci Method

Gradient Bounds and Liouville theorems for Quasi-linear equations on compact Manifolds with nonnegative Ricci curvature
(with G. Zacharopoulos)

On the Stability and Convergence of Physics Informed Neural Networks
(with I. Gkanis and C. G. Makridakis)

Applications of P-functions to Fully Nonlinear Elliptic equations: Gradient Estimates and Rigidity Results

Last modified on December, 2024