On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type

Félix del Teso, Jørgen Endal, Espen R. Jakobsen

We study well-posedness and equivalence of different notions of solutions with finite energy for nonlocal porous medium type equations of the form $${\partial }_{t}u-A\phi (u)=0.$$ These eq…