Porous Medium Equation with a Drift: Free Boundary Regularity
نویسندگان
چکیده
We study regularity properties of the free boundary for solutions porous medium equation with presence drift. show $$C^{1,\alpha }$$ when solution is directionally monotone in space variable a local neighborhood. The main challenge lies establishing non-degeneracy estimate (Theorem 1.3 and Proposition 1.5), which appears new even zero drift case.
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2021
ISSN: ['0003-9527', '1432-0673']
DOI: https://doi.org/10.1007/s00205-021-01702-y