One-sided Hölder regularity of global weak solutions of negative order dispersive equations
Peer reviewed, Journal article
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Date
2023Metadata
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- Institutt for matematiske fag [2397]
- Publikasjoner fra CRIStin - NTNU [37703]
Abstract
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.