22 citations · 123 across the 18 of their papers we have counts for
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math.AP2019★ 22 cited
Asymptotic Profiles of Nonlinear Homogeneous Evolution Equations of Gradient Flow Type
Leon Bungert, Martin Burger
This work is concerned with the gradient flow of absolutely -homogeneous convex functionals on a Hilbert space, which we show to exhibit finite () or infinite extinction ti…
math.NA2019
Computing Nonlinear Eigenfunctions via Gradient Flow Extinction
Leon Bungert, Martin Burger, Daniel Tenbrinck
In this work we investigate the computation of nonlinear eigenfunctions via the extinction profiles of gradient flows. We analyze a scheme that recursively subtracts such eigenfunc…
math.AP2019★ 13 cited
Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals
Leon Bungert, Martin Burger, Antonin Chambolle +1
This paper establishes a theory of nonlinear spectral decompositions by considering the eigenvalue problem related to an absolutely one-homogeneous functional in an infinite-dimens…