18 citations · 59 across the 24 of their papers we have counts for
33 papers
Diffusive stability and self-similar decay for the harmonic map heat flow
Tobias Lamm, Guido Schneider
In this paper we study the harmonic map heat flow on the euclidean space and we show an unconditional uniqueness result for maps with small initial data in the homog…
Index estimates for sequences of harmonic maps
Jonas Hirsch, Tobias Lamm
In this paper we study upper and lower bounds of the index and the nullity for sequences of harmonic maps with uniformly bounded Dirichlet energy from a two-dimensional Riemann sur…
Rigidity of -harmonic maps of low degree
Jasmin Hörter, Tobias Lamm, Mario Micallef
In 1981, Sacks and Uhlenbeck introduced their famous -energy as a way to approximate the Dirichlet energy and produce harmonic maps from surfaces into Riemannian manifolds. Howe…
Ricci flow of -metrics in four dimensions
Tobias Lamm, Miles Simon
In this paper we construct solutions to Ricci DeTurck flow in four dimensions on closed manifolds which are instantaneously smooth but whose initial values are (possibly) non-s…
Conservation laws for even order elliptic systems in the critical dimension -- a new approach
Jasmin Hörter, Tobias Lamm
We consider elliptic systems of order in dimension which are generalizations of extrinsic and intrinsic polyharmonic maps. We show the existence of a conservation law for…
Reflection of Willmore surfaces with free boundaries
Ernst Kuwert, Tobias Lamm
We study immersed surfaces in which are critical points of the Willmore functional under boundary constraints. The two cases considered are when the surface meets a…