8 citations · 13 across the 3 of their papers we have counts for
3 papers
math.AP2022★ 5 cited
Periodic Hölder waves in a class of negative-order dispersive equations
Fredrik Hildrum, Jun Xue
We prove the existence of highest, cusped, periodic travelling-wave solutions with exact and optimal -Hölder continuity in a class of fractional negative-order dispersive equat…
math.OC2020
Subgradient-based Lavrentiev regularisation of monotone ill-posed problems
Markus Grasmair, Fredrik Hildrum
We introduce subgradient-based Lavrentiev regularisation of the form \begin{equation*} \mathcal{A}(u) + α\partial \mathcal{R}(u) \ni f^δ\end{equation*} for linear and nonlinear ill…
math.AP2019★ 8 cited
Solitary waves in dispersive evolution equations of Whitham type with nonlinearities of mild regularity
Fredrik Hildrum
We show existence of small solitary and periodic traveling-wave solutions in Sobolev spaces , , to a class of nonlinear, dispersive evolution equations o…