Analysis reveals Harnack-type inequalities in porous medium equations with a blow-up term, indicating significant properties of solutions.
We prove global gradient estimates for positive bounded solutions of porous medium equations with a blow-up term ?tu = ?mup + cuq on a compact n-dimensional Finsler manifold (Mn, F(t), m) evolving under the Finsler-geometric flow. Then, we obtain Harnack-type inequalities.
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Shahroud Azami (2025) studied this question.
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