18 citations · 19 across the 9 of their papers we have counts for
11 papers
Linear and nonlinear stability for the Bach flow, I
Eric Bahuaud, Christine Guenther, James Isenberg +1
In this paper we prove the linear stability of a gauge-modified version of the Bach flow on any complete manifold (M, h) of constant curvature. This involves some intricate calcula…
Convergence stability for Ricci flow on manifolds with bounded geometry
Eric Bahuaud, Christine Guenther, James Isenberg +1
We prove that the Ricci flow for complete metrics with bounded geometry depends continuously on initial conditions for finite time with no loss of regularity. This relies on our re…
Wellposedness of nonlinear flows on manifolds of bounded geometry
Eric Bahuaud, Christine Guenther, James Isenberg +1
We present simple conditions which ensure that a strongly elliptic operator generates an analytic semigroup on Hölder spaces on an arbitrary complete manifold of bounded geomet…
Sectoriality of the Laplacian on Asymptotically Hyperbolic Spaces
Eric Bahuaud, Christine Guenther, James Isenberg
We prove that both the Laplacian on functions, and the Lichnerowicz Laplacian on symmetric 2-tensors with respect to asymptotically hyperbolic metrics, are sectorial maps in weight…
Scaling and Entropy for the RG-2 Flow
Mauro Carfora, Christine Guenther
Let be a closed Riemannian manifold. The to the perturbative renormalization group flow for the nonlinear sigma model (RG-2…
Convergence Stability for Ricci Flow
Eric Bahuaud, Christine Guenther, James Isenberg
The principle of convergence stability for geometric flows is the combination of the continuous dependence of the flow on initial conditions, with the stability of fixed points. It…