48 citations · 249 across the 34 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.DG2024
Existence of static vacuum extensions for Bartnik boundary data near Schwarzschild spheres
Spyros Alexakis, Zhongshan An, Ahmed Ellithy +1
We obtain existence and local uniqueness of asymptotically flat, static vacuum extensions for Bartnik data on a sphere near the data of a sphere of symmetry in a Schwarzschild mani…
math.AP2024
Inverse scattering problems for non-linear wave equations on Lorentzian manifolds
Spyros Alexakis, Hiroshi Isozaki, Matti Lassas +1
We show that an inverse scattering problem for a semilinear wave equation can be solved on a manifold having an asymptotically Minkowskian infinity, that is, scattering functionals…
math.AP2024
The behaviour of the DC current density at the edge of electrodes
Spyros Alexakis
We study the complete electrode model boundary condition for second order elliptic PDE. A specific case of this is the PDE describing the electrostatic potential for a conductive b…