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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…