Year: 2025
Type: preprint
Abstract: 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 existence of solutions to the corresponding Cauchy problem are identified. Moreover, sharp sufficient conditions for the existence of solutions are established by employing uniform local Morrey spaces and their generalizations.
Source: arXiv (Cornell University)
Authors: Ishige, Kazuhiro, Miyake, Nobuhito
Institutions: The University of Tokyo, Kyushu University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7084447075
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