3 papers
math.AP2026
Higher-order estimates of highest waves of the Whitham equation
Robin Østern Lien
The Whitham equation has given its name to a wider family of nonlocal, nonlinear equations with very weak dispersion, which all feature highest waves. Recent work by Ehrnström, Mae…
math.AP2025
A Schauder regularity theory for nonlocal and mixed local-nonlocal viscous Hamilton$\unicode{x2013}$Jacobi equations
Espen Robstad Jakobsen, Robin Østern Lien, Artur Rutkowski
We prove space-time Schauder estimates $\unicode{x2013}$ optimal regularity estimates in Hölder spaces $\unicode{x2013}$ and well-posedness results for mild and classical solutions…
math.NA2024
Discretization of fractional fully nonlinear equations by powers of discrete Laplacians
Indranil Chowdhury, Espen Robstad Jakobsen, Robin Østern Lien
We study discretizations of fractional fully nonlinear equations by powers of discrete Laplacians. Our problems are parabolic and of order since they involve fractional…