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The Fine Topologyn . is said to be . than .) if . ⊂ .. For any family of extended real-valued functions on a space there is a coarsest topology making every member of the family continuous, namely, the intersection of all the topologies doing this. The . topology of classical potential theory is defined as the coarsconcise 发表于 2025-3-22 05:23:46
Classical Energy and Capacityductor, if . is a connected conducting body in ℝ., the charge on A distributes itself in such a way that the net effect is that of an all-positive or all-negative charge, and the distribution on . is in equilibrium in the sense that the restriction to . of the potential of the charge distribution in小虫 发表于 2025-3-22 11:53:38
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Parabolic Potential Theory: Basic Factst operator . and its adjoint ., called ., will be developed in Chapters XV to XIX. Concepts that are parabolic counterparts of classical concepts will be distinguished by dots or asterisks, depending on whether the concepts are related to . or to .. Just as the domains of classical potential theoryGuileless 发表于 2025-3-22 19:44:29
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The Parabolic Dirichlet Problem, Sweeping, and Exceptional Setsabolic if . is parabolic, superparabolic, or sub-parabolic, respectively. The notation will be parallel to that in the classical context, with . omitted when .. Thus .,... need no further identification. In the dual context in which . is coparabolic we write叫喊 发表于 2025-3-23 06:18:45
Classical Potential Theory and Its Probabilistic Counterpart978-1-4612-5208-5Series ISSN 0072-7830 Series E-ISSN 2196-9701