独行者
发表于 2025-3-23 13:28:24
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Heretical
发表于 2025-3-23 14:56:47
Introduction to the Mathematical Background of Classical Potential TheoryIn this chapter some of the mathematical ideas of classical potential theory are introduced, under simplifying assumptions. The basic space is Euclidean . space ℝ.. For a ball .(ξ, δ) in ℝ.
时间等
发表于 2025-3-23 18:49:02
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patella
发表于 2025-3-23 22:32:57
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名义上
发表于 2025-3-24 02:49:40
The Fundamental Convergence Theorem and the Reduction Operation.. Let Γ: {u., α ∈ I} be a family of superharmonic functions defined on an open subset of ℝ., locally uniformly bounded below, and define the lower envelope u by u(ξ) = ..u.(ξ). Then .u ≤ u, ..
landmark
发表于 2025-3-24 09:56:48
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corporate
发表于 2025-3-24 14:29:40
The Martin BoundaryLet . be an open subset of ℝ.. If . is a ball, its Euclidean boundary is so well adapted to it from a potential theoretic point of view that the following statements are true.
使坚硬
发表于 2025-3-24 15:39:07
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臭名昭著
发表于 2025-3-24 20:12:32
978-3-540-41206-9Springer-Verlag Berlin Heidelberg 2001
prodrome
发表于 2025-3-25 03:04:27
Basic Properties of Harmonic, Subharmonic, and Superharmonic Functions = δ.. To simplify the notation take ξ. = .. Then .., as defined by.with the understanding that ..(ξ, ξ)= +∞, satisfies items (ix′)–(ivx′) of Section 1.8, so that harmonic measure for . is given by.where .. here refers to surface area on ∂. and