Nonlocal dissipation measure and <i>L</i><sup>1</sup> kinetic theory for fractional conservation laws
Nonlocal dissipation measure and <i>L</i><sup>1</sup> kinetic theory for fractional conservation laws
We introduce a kinetic formulation for scalar conservation laws with nonlocal and nonlinear diffusion terms. We deal with merely L1 initial data, general self-adjoint pure jump Lévy operators, and locally Lipschitz nonlinearities of porous medium kind possibly strongly degenerate. The cornerstone of the formulation and the uniqueness proof is an …