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20192022
most citedSolitary waves in dispersive evolution equations of Whitham type with nonlinearities of mild regularity

8 citations · 13 across the 3 of their papers we have counts for

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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.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…