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Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems

Sachiko IshidaTomomi Yokota — 2023

Archivum Mathematicum

This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.

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