Geodesic
Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems
Archivum mathematicum, Tome 59 (2023) no. 2, pp. 181-189

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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.
DOI : 10.5817/AM2023-2-181
Classification : 35B35, 35D30, 35Q92, 92C17
Keywords: stabilization; degenerate diffusion; Keller-Segel systems 
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Ishida, Sachiko; Yokota, Tomomi. Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems. Archivum mathematicum, Tome 59 (2023) no. 2, pp. 181-189. doi: 10.5817/AM2023-2-181

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