3 papers
math.FA2017
The structure of -free measures with uniformly singular part
Darko Mitrovic
We prove that a singular part of a measure satisfying for a linear partial differential operator defined on has the range in the intersecti…
math.AP2011
A generalization of -measures and application on purely fractional scalar conservation laws
Darko Mitrovic, Ivan Ivec
We extend the notion of -measures on test functions defined on , where is an arbitrary compact simply connected Lipschitz manifold such that there…
math.AP2010
New entropy conditions for scalar conservation laws with discontinuous flux
Darko Mitrovic
We propose new Kruzhkov type entropy conditions for one dimensional scalar conservation law with a discontinuous flux. We prove existence and uniqueness of the entropy admissible w…