نتایج جستجو برای: radon measure
تعداد نتایج: 352419 فیلتر نتایج به سال:
If Martin’s Axiom is true and the continuum hypothesis is false, and X is a compact Radon measure space with a non-separable L1 space, then there is a continuous surjection from X onto [0, 1]1 .
In this paper we derive the analogue of the Lebesque-Radon-Nikodym theorem with respect to fermionic p-adic invariant measure on Zp. 2010 Mathematics Subject Classification : 11S80, 48B22, 28B99
This is a survey on problems involving equations −divA(x,∇u) = μ, where μ is a Radon measure and A : Rn ×Rn → Rn verifies Leray-Lions type conditions. We shall discuss a potential theoretic approach when the measure is nonnegative. Existence and uniqueness, and different concepts of solutions are discussed for general signed measures. 2000 Mathematics Subject Classification: 35J60, 31C45.
For a large class, containing the Kato class, of real-valued Radon measures m on R the operators −∆ + ε∆ + m in L(R, dx) tend to the operator −∆ +m in the norm resolvent sense, as ε tends to zero. If d ≤ 3 and a sequence (μn) of finite real-valued Radon measures on R converges to the finite real-valued Radon measure m weakly and, in addition, supn∈N μ ± n (R) < ∞, then the operators −∆ + ε∆ + μ...
We analyze a class of weakly differentiable vector fields F : R → R with the property that F ∈ L∞ and div F is a Radon measure. These fields are called bounded divergencemeasure fields. The primary focus of our investigation is to introduce a suitable notion of the normal trace of any divergence-measure field F over the boundary of an arbitrary set of finite perimeter, which ensures the validit...
Abstract In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove equivalence among several different notions Sobolev space present in literature and characterise minimal weak upper gradient all Lipschitz functions.
In the setting of Euclidean space equipped with an arbitrary Radon measure, we prove equivalence between several notions function bounded variation present in literature. We also study relation various definitions 1-Sobolev function.
The technique used at the Sudbury Neutrino Observatory (SNO) to measure the concentration of Rn in water is described. Water from the SNO detector is passed through a vacuum degasser (in the light water system) or a membrane contact degasser (in the heavy water system) where dissolved gases, including radon, are liberated. The degasser is connected to a vacuum system which collects the radon on...
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