5 citations · 5 across the 1 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
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…