Regularity Properties of Degenerate Diffusion Equations with Drifts
نویسندگان
چکیده
منابع مشابه
Dirichlet Regularity and Degenerate Diffusion
Let Ω ⊂ RN be an open and bounded set and let m : Ω → (0,∞) be measurable and locally bounded. We study a natural realization of the operator m in C0(Ω) := { u ∈ C(Ω) : u|∂Ω = 0 } . If Ω is Dirichlet regular, then the operator generates a positive contraction semigroup on C0(Ω) whenever 1 m ∈ Lploc(Ω) for some p > N 2 . If m(x) does not go fast enough to 0 as x → ∂Ω, then Dirichlet regularity i...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2018
ISSN: 0036-1410,1095-7154
DOI: 10.1137/17m1159749