Nonmonotoneity of Picard principle
نویسندگان
چکیده
منابع مشابه
On the Picard principle for ∆ + μ
Given a (local) Kato1 measure μ on Rd \ {0}, d ≥ 2, let H 0 (U) be the convex cone of all continuous real solutions u ≥ 0 to the equation ∆u+ uμ = 0 on the punctured unit ball U satisfying lim|x|→1 u(x) = 0. It is shown that H 0 (U) 6= {0} if and only if the operator f 7→ ∫ U G(·, y)f(y) dμ(y), where G denotes the Green function on U , is bounded on L2(U, μ) and has a norm which is at most one....
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1985
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1985-0808742-7