11 citations · 21 across the 9 of their papers we have counts for
10 papers
Kinodynamic control systems and discontinuities in clearance
Niles Armstrong, Jory Denny, Jeremy LeCrone
We investigate the structure of discontinuities in clearance (or minimum time) functions for nonlinear control systems with general, closed obstacles (or targets). We establish gen…
Perturbed Obstacle Problems in Lipschitz Domains: Linear Stability and Non-degeneracy in Measure
Ivan Blank, Jeremy LeCrone
We consider the classical obstacle problem on bounded, connected Lipschitz domains . We derive quantitative bounds on the changes to contact sets under gene…
Mean Value Theorems for Riemannian Manifolds via the Obstacle Problem
Brian Benson, Ivan Blank, Jeremy LeCrone
We develop some of the basic theory for the obstacle problem on Riemannian Manifolds, and we use it to establish a mean value theorem. Our mean value theorem works for a very wide…
On the flow of non-axisymmetric perturbations of cylinders via surface diffusion
Jeremy LeCrone, Gieri Simonett
We study the surface diffusion flow acting on a class of general (non--axisymmetric) perturbations of cylinders in . Using tools from parabolic theo…
On quasilinear parabolic evolution equations in weighted Lp-spaces II
Jeremy LeCrone, Jan Pruess, Mathias Wilke
Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low…
Stability and bifurcation of equilibria for the axisymmetric averaged mean curvature flow
Jeremy LeCrone
We study the averaged mean curvature flow, also called the volume preserving mean curvature flow, in the particular setting of axisymmetric surfaces embedded in R^3 satisfying peri…
On well-posedness, stability, and bifurcation for the axisymmetric surface diffusion flow
Jeremy LeCrone, Gieri Simonett
In this article, we study the axisymmetric surface diffusion flow (ASD), a fourth-order geometric evolution law. In particular, we prove that ASD generates a real analytic semiflow…
Elliptic operators and maximal regularity on periodic little-Hölder spaces
Jeremy LeCrone
We consider one-dimensional inhomogeneous parabolic equations with higher-order elliptic differential operators subject to periodic boundary conditions. In our main result we show…
Continuous maximal regularity and analytic semigroups
Jeremy LeCrone, Gieri Simonett
In this paper we establish a result regarding the connection between continuous maximal regularity and generation of analytic semigroups on a pair of densely embedded Banach spaces…
On quasilinear parabolic evolution equations in weighted -spaces
Matthias Köhne, Jan Pruess, Mathias Wilke
In this paper we develop a geometric theory for quasilinear parabolic problems in weighted -spaces. We prove existence and uniqueness of solutions as well as the continuous de…