Browsing NTNU Open by Author "Hildrum, Fredrik"
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Nonlocal and monotone techniques in dispersive equations and inverse problems
Hildrum, Fredrik (Doctoral theses at NTNU;2022:151, Doctoral thesis, 2022) -
On the Existence of Periodic Traveling Waves to the Whitham Equation
Hildrum, Fredrik (Master thesis, 2015)We study the existence of periodic traveling waves to the Whitham equation, which is a nonlinear, nonlocal and dispersive differential equation proposed by Whitham as a model for surface gravity waves featuring the exact ... -
Periodic Hölder waves in a class of negative-order dispersive equations
Hildrum, Fredrik; Xue, Jun (Peer reviewed; Journal article, 2023)We prove the existence of highest, cusped, periodic travelling-wave solutions with exact and optimal α-Hölder continuity in a class of fractional negative-order dispersive equations of the form��+(|D|−��+�(�))�=0for every ... -
Solitary waves in dispersive evolution equations of Whitham type with nonlinearities of mild regularity
Hildrum, Fredrik (Journal article; Peer reviewed, 2020)We show existence of small solitary and periodic traveling-wave solutions in Sobolev spaces Hs, s>0, to a class of nonlinear, dispersive evolution equations of the formut+(Lu+n(u))x=0,where the dispersion ...