Singular extinction profiles of solutions to some fast diffusion equations
Tianling Jin, Jingang Xiong
TL;DR
This paper investigates the extinction profiles of solutions to certain fast diffusion equations, focusing on singular solutions associated with stationary equations, especially for initial data in the Marcinkiewicz space.
Contribution
It characterizes the extinction profiles of solutions to fast diffusion equations with initial data in Marcinkiewicz space, highlighting their singular stationary solutions.
Findings
Extinction profiles are characterized as singular stationary solutions.
Solutions with initial data in Marcinkiewicz space exhibit specific extinction behaviors.
The study advances understanding of fast diffusion equations' long-term behavior.
Abstract
We study extinction profiles of solutions to fast diffusion equations with some initial data in the Marcinkiewicz space. The extinction profiles will be the singular solutions of their stationary equations.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Differential Equations Analysis · Mathematical Biology Tumor Growth