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The Theory of PotentialThe Newtonian potential, or the potential of volume, associated to the Laplace equation . is, by definition, the following improper integral: .where ., and . is the area of the unit sphere from the .-dimensional space ..Parabola 发表于 2025-3-25 14:38:50
Boundary Value Problems for Elliptic OperatorsConsider the bounded domain . with boundary . and the linear operator of second order啪心儿跳动 发表于 2025-3-25 16:09:07
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Parabolic EquationsThe prototype of a parabolic equation is given by the equation of propagation of heat in a body. Let . be a bounded domain from . having boundary . and .. For a constant of time ., arbitrarily fixed, consider the interval of time . given by喃喃诉苦 发表于 2025-3-26 00:51:20
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Linear Partial Differential Equations of Second OrderLet us consider the differential operator .in which the coefficients . and . are regular functions which depend only on one variable . and which are defined on an open set . from ., where . is not necessarily bounded.