On the Burgers–Poisson equation
Journal article
Submitted version
Permanent lenke
http://hdl.handle.net/11250/2468483Utgivelsesdato
2016Metadata
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- Institutt for matematiske fag [2350]
- Publikasjoner fra CRIStin - NTNU [37177]
Originalversjon
Journal of Differential Equations. 2016, 261 (6), 3220-3246. 10.1016/j.jde.2016.05.028Sammendrag
In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L 1 (R). In addition an Oleinik type estimate is established and some criteria on local smoothness and wave breaking for weak entropy solutions are provided.