2 citations · 2 across the 5 of their papers we have counts for
5 papers
Stability of translating solutions to mean curvature flow
Julie Clutterbuck, Oliver C. Schnürer, Felix Schulze
We prove stability of rotationally symmetric translating solutions to mean curvature flow. For initial data that converge spatially at infinity to such a soliton, we obtain converg…
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…
Convex functions with unbounded gradient
Oliver C. Schnürer
We show that domains, that allow for convex functions with unbounded gradient at their boundary, are convex.
Surfaces expanding by the inverse Gauss curvature flow
Oliver C. Schnürer
We show that strictly convex surfaces expanding by the inverse Gauss curvature flow converge to infinity in finite time. After appropriate rescaling, they converge to spheres. We d…
Surfaces contracting with speed |A|^2
Oliver C. Schnürer
We show that strictly convex surfaces contracting with normal velocity equal to |A|^2 shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We in…