On distributional solutions of local and nonlocal problems of porous medium type

Félix del Teso, Jørgen Endal, Espen R. Jakobsen

We present a theory of well-posedness and a priori estimates for bounded distributional (or very weak) solutions of $$\partial_tu-\mathfrak{L}^{σ,μ}[φ(u)]=g(x,t)\quad\quad\text{in}…