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math.AP2025
Initial traces and solvability of the fast diffusion equation with power-type nonlinearity
Kazuhiro Ishige, Nobuhito Miyake
We investigate the qualitative behavior of the initial traces of nonnegative solutions to the fast diffusion equation with power-type nonlinearity. Necessary conditions for the exi…
math.AP2025
Initial traces and solvability of porous medium equation with power nonlinearity
Kazuhiro Ishige, Nobuhito Miyake, Ryuichi Sato
In this paper we study qualitative properties of initial traces of solutions to the porous medium equation with power nonlinearity, and obtain necessary conditions for the existenc…