Optimal boundary regularity for fast diffusion equations in bounded domains
نویسندگان
چکیده
We prove optimal boundary regularity for bounded positive weak solutions of fast diffusion equations in smooth domains. This solves a problem raised by Berryman and Holland 1980 these the subcritical critical regimes. Our proof priori estimates uses geometric type structure equations, where an important ingredient is evolution equation curvature-like quantity.
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2023
ISSN: ['0002-9327', '1080-6377']
DOI: https://doi.org/10.1353/ajm.2023.0003