2 papers
math.AP2025
On instability mechanisms for inverse problems
Herbert Koch, Angkana Rüland, Mikko Salo
In this article we present three robust instability mechanisms for linear and nonlinear inverse problems. All of these are based on strong compression properties (in the sense of s…
math.AP2024
Asymptotic stability of the sine-Gordon kinks under perturbations in weighted Sobolev norms
Herbert Koch, Dongxiao Yu
We study the asymptotic stability of the sine-Gordon kinks under small perturbations in weighted Sobolev norms. Our main tool is the Bäcklund transform which reduces the study of…