معادله متوسط ​​متخلخل در منیفولد های ریمان با منحنی منفی. رفتار بزرگ زمان

We also present a change of variables that allows to transform radially symmetric solutions of the PME on model manifolds into radially symmetric solutions of a corresponding weighted PME on Euclidean space and back. This equivalence turns out to be an important tool of the theory.