Originalversjon
Journal of Differential Equations. 2023, 364, 412-455, DOI: https://doi.org/10.1016/j.jde.2023.03.048
Sammendrag
We prove global existence, uniqueness and stability of entropy solutions with L2 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.