Special Session 89: Partial Differential Equations: Diverse Applications and Connections

BV functions, hyperbolic conservation laws and fractal sets
Emanuel Guariglia
Kean University
Italy
Co-Author(s):    
Abstract:
In this talk, we review some important results on the uniqueness of solutions to hyperbolic conservation laws. More precisely, we show that every weak solution taking values in the domain of the semigroup, and such that shocks satisfy the Liu conditions, coincides with a semigroup trajectory. Finally, we give an application in fractal geometry.