1 citations · 1 across the 6 of their papers we have counts for
7 papers
Stability for a formally determined Lorentzian inverse problem
Spyridon Filippas, Lauri Oksanen
We consider the inverse problem of recovering a potential , depending on space and time, in the wave equation on a Lorentzian manifold. We prove Lipschitz stabil…
Recovery of a matrix valued potential for the wave equation on stationary spacetimes
Spyridon Filippas, Lauri Oksanen, Miika Sarkkinen
We study the problem of recovering a time dependent matrix valued potential on a globally hyperbolic manifold from the knowledge of the source to solution map of a wave equation in…
On the blowup of quantitative unique continuation estimates for waves and applications to stability estimates
Spyridon Filippas, Lauri Oksanen
In this paper we are interested in the blowup of a geometric constant appearing in the optimal quantitative unique continuation property for wave operators. In a…
On the stability of an inverse problem for waves via the Boundary Control method
Spyridon Filippas, Lauri Oksanen
We establish a link between stability estimates for a hyperbolic inverse problem via the Boundary Control method and the blowup of a constant appearing in the contexts of optimal u…
Unique continuation for Schr{ö}dinger operators with partially Gevrey coefficients
Spyridon Filippas, Camille Laurent, Matthieu Léautaud
We prove a local unique continuation result for Schr\''odinger operators with time independent Lipschitz metrics and lower order terms which are Gevrey 2 in time and bounded in spa…
Whispering gallery modes for a transmission problem
Spyridon Filippas
We construct a specific family of eigenfunctions for a Laplace operator with coefficients having a jump across an interface. These eigenfunctions have an exponential concentration…
Quantitative unique continuation for wave operators with a jump discontinuity across an interface and applications to approximate control
Spyridon Filippas
In this article we prove quantitative unique continuation results for wave operators of the form 2 t -- div(c(x)) where the scalar coefficient c is disc…