For an anisotropic porous medium equation with L1 regular lower order terms we prove the local boundedness and continuity of weak solutions in terms of the linear Riesz potential of the right-hand side of equation.
Buryachenko, K. O., & Skrypnik, I. I. (2019). Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation. Nonlinear Analysis, Theory, Methods and Applications, 178, 56–85. https://doi.org/10.1016/j.na.2018.07.006
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