volume 140, issue 2, P395-407 2020
DOI: 10.1007/s11854-020-0081-z
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Abstract: We show that locally bounded solutions of the inhomogeneous porous medium equationare locally Hölder continuous, with exponentwhere α 0 denotes the optimal Hölder exponent for solutions of the homogeneous case. The proof relies on an approximation lemma and geometric iteration in the appropriate intrinsic scaling.