13 citations · 23 across the 8 of their papers we have counts for
8 papers
Evolving Pinched Submanifolds of the Sphere by Mean Curvature Flow
Charles Baker, Huy The Nguyen
In this paper, we prove convergence of the high codimension mean curvature flow in the sphere to either a round point or a totally geodesic sphere assuming a pinching condition bet…
Non-real eigenvalues of the Harmonic Oscillator perturbed by an odd, two-point -potential
Charles Baker, Boris Mityagin
In this paper, we consider the perturbations of the Harmonic Oscillator Operator by an odd pair of point interactions: . We study the spectrum by analyzing…
Localization of eigenvalues of Doubly Cyclic Matrices
Charles E. Baker, Boris S. Mityagin
Fix positive numbers and . For the family of doubly cyclic matrices of the form , where is a permutation matri…
Surfaces of Co-dimension Two Pinched by Normal Curvature
Charles Baker, Huy The Nguyen
We prove that codimension two surfaces satisfying a nonlinear curvature condition depending on normal curvature are smoothly deformed by mean curvature flow to round points.
On the Positive-Definiteness of an Anisotropic Operator
Charles E. Baker
We study the positive-definiteness of a family of integral operators with kernel , with and $a > 0…
A proof of the parabolic Schauder estimates using Trudinger's method and the mean value property of the heat equation
Charles Baker
One method available to prove the Schauder estimates is Neil Trudinger's method of mollification. In the case of second order elliptic equations, the method requires little more th…