Browsing Department of Mathematics by Journals "Monatshefte für Mathematik"
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The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of sech2 solutions
(Journal article; Peer reviewed, 2024)In the context of the initial data and an amplitude parameter ε, we establish a local existence result for a highly nonlinear shallow water equation on the real line. This result holds in the space Hk as long as k > 5/2. ...