Results 171 to 180 of about 261,560 (199)
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Homogenization in a Periodic and Time-Dependent Potential
SIAM Journal on Applied Mathematics, 1997The paper is devoted to the investigation of the limit as \(\varepsilon\to0\) of solutions of \[ \frac{\partial u^\varepsilon}{\partial t} + a_{ij}\left(\frac{t}{\varepsilon^p},\frac{x}{\varepsilon}\right) \frac{\partial^2u^\varepsilon}{\partial x_i\partial x_j} + \frac{1}{\varepsilon} b_i\left(\frac{t}{\varepsilon^p},\frac{x}{\varepsilon}\right) \frac{
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Potential Theory in Bounded Symmetric Homogeneous Complex Domains
The Annals of Mathematics, 1958The purpose of this paper is to treat a generalization of the elementary potential theory of the unit circle. The main tools are those of the theory of transformation groups. For this reason, the domains treated are required to have a large amount of symmetry; they form a class of homogeneous spaces first discussed in full generality by E.
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The Newtonian potential of a homogeneous cube
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1976Closed form expressions for the Newtonian force field and the Newtonian potential of a homogeneous rectangular parallelepiped were given by MacMillan (1930). Here a new concise derivation by means of multiple summations is presented. Each component of the force is written as a sum of 24 terms involving Artanh and arctan functions, whereas the ...
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Continuous Functions and Riesz Type Potentials in Homogeneous Spaces
Potential Analysis, 2015A classical result of \textit{G. C. Evans} [Trans. Am. Math. Soc. 37, 226--253 (1935; JFM 61.0529.03)] characterizes the compact sets \(K\) of \(\mathbb{R}^n\) of \(\alpha\)-capacity zero, and \textit{H. Wallin} [Ark. Mat. 5, 55--84 (1963; Zbl 0134.09404)] proved that a compact set \(K\) has \(k\)-capacity zero if and only if every continuous function ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
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Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
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