3 citations · 7 across the 8 of their papers we have counts for
9 papers
Existence proofs for rotationally symmetric translating solutions to mean curvature flow
Hakar Raji, Oliver C. Schnürer
There exist rotationally symmetric translating solutions to mean curvature flow that can be written as a graph over Euclidean space. This result is well-known. Its proof uses the s…
Mean curvature flow without singularities
Mariel Sáez Trumper, Oliver C. Schnürer
We study graphical mean curvature flow of complete solutions defined on subsets of Euclidean space. We obtain smooth long time existence. The projections of the evolving graphs als…
Stability of mean convex cones under mean curvature flow
Julie Clutterbuck, Oliver C. Schnürer
We consider graphical solutions to mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature: If anoth…
Stability of Euclidean space under Ricci flow
Oliver C. Schnürer, Felix Schulze, Miles Simon
We study the Ricci flow for initial metrics which are C^0 small perturbations of the Euclidean metric on R^n. In the case that this metric is asymptotically Euclidean, we show that…
Self-similarly expanding networks to curve shortening flow
Oliver C. Schnürer, Felix Schulze
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network tha…
Decay at infinity for parabolic equations
Oliver C. Schnürer, Hartmut R. Schwetlick
We consider solutions to linear parabolic equations with initial data decaying at spatial infinity. For a class of advection-diffusion equations with a spatially dependent velocity…