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Proves a Liouville theorem and resolves symmetry groups for porous medium equations, indicating significant implications for mathematical modeling.
We first prove a Liouville theorem to the torsion system As an application, complete resolutions of symmetry groups to the porous medium equationof Fujita type are obtained, where M is the sphere S n R n+1 or hyperbolic space H n with canonical metric g .
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Chen et al. (2021) studied this question.
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