9 citations · 10 across the 5 of their papers we have counts for
5 papers
L^2-type contraction of viscous shocks for large family of scalar conservation laws
Logan Stokols
In this paper we study small shocks of 1D scalar viscous conservation laws with uniformly convex flux and nonlinear dissipation. We show that such shocks are L2 stable independent…
Holder Regularity up to the Boundary for Critical SQG on Bounded Domains
Logan Stokols, Alexis Vasseur
We consider the dissipative SQG equation in bounded domains, first introduced by Constantin and Ignatova in 2016. We show global Holder regularity up to the boundary of the solutio…
Holder Continuity for a Family of Nonlocal Hypoelliptic Kinetic Equations
Logan F. Stokols
In this work, Holder continuity is obtained for solutions to the nonlocal kinetic Fokker-Planck Equation, and to a family of related equations with general integro-differential ope…
De Giorgi Techniques Applied to Hamilton-Jacobi Equations with Unbounded Right-Hand Side
L. F. Stokols, Alexis F. Vasseur
In this article we obtain Holder estimates for solutions to second-order Hamilton-Jacobi equations with super-quadratic growth in the gradient and unbounded source term. The estima…
On Structural Decompositions of Finite Frames
Alice Z. -Y. Chan, Martin S. Copenhaver, Sivaram K. Narayan +2
A frame in an -dimensional Hilbert space is a possibly redundant collection of vectors that span the space. A tight frame is a generalization of an orth…