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• W4386765703 abstract "We study a Sobolev critical fast diffusion equation in bounded domains with the Brézis-Nirenberg effect. We obtain extinction profiles of its positive solutions, and show that the convergence rates of the relative error in regular norms are at least polynomial. Exponential decay rates are proved for generic domains. Our proof makes use of its regularity estimates, a curvature type evolution equation, as well as blow up analysis. Results for Sobolev subcritical fast diffusion equations are also obtained." @default.
• W4386765703 created "2023-09-16" @default.
• W4386765703 creator A5002601311 @default.
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• W4386765703 date "2023-09-15" @default.
• W4386765703 modified "2023-10-15" @default.
• W4386765703 title "Bubbling and extinction for some fast diffusion equations in bounded domains" @default.
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• W4386765703 doi "https://doi.org/10.1090/btran/165" @default.
• W4386765703 hasPublicationYear "2023" @default.
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