One-sided Hölder regularity of global weak solutions of negative order dispersive equations
Peer reviewed, Journal article
Published version
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https://hdl.handle.net/11250/3115649Utgivelsesdato
2023Metadata
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- Institutt for matematiske fag [2357]
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Sammendrag
We prove global existence, uniqueness and stability of entropy solutions with initial data for a general family of negative order dispersive equations. These weak solutions are found to satisfy one-sided Hölder conditions whose coefficients decay in time. The latter result controls the height of solutions and further provides a way to bound the maximal lifespan of classical solutions from their initial data.