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Classical coupled thermoelasticity in unbounded domains
Journal of Elasticity, 1989Some qualitative properties of regular solutions of systems of classical coupled thermoelasticity in unbounded domains are established, the special features of the results consisting in: (1) a weak hypothesis with regard to the temperatur field at large distances, and (2) lack of a constraint of a similar kind with regard to the displacement field ...
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Symmetric Stable Processes on Unbounded Domains
Potential Analysis, 2006The author gives necessary and sufficient conditions for the expectation of a function of the exit time by a symmetric \(\alpha\)-stable process from a horn-shaped domain to be finite. The results of this paper are generalizations of earlier results contained in a paper by \textit{T. Kulczycki} and the author [Trans. Am. Math. Soc. 358, No.
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The Martin Kernel for Unbounded Domains
Potential Analysis, 2009Let \((x_{1},\widetilde{x})\) denote a typical point of \(\mathbb{R}\times \mathbb{R}^{d-1}\), where \(d\geq 3\), and let \(a:[0,\infty )\rightarrow (0,\infty )\) be Lipschitz. This paper is concerned with unbounded domains \(D\) of the form \(\{(x_{1},\widetilde{x}):x_{1}>0,\;\left| \widetilde{x}\right|
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Gaugeability for Unbounded Domains
1990Let D be a Greenian domain in R d(d ≥ 1), namely, its Green function G D(x, y) < ∞ for x, y ∈ D, x ≠ y, and let q ∈ K d (see [1] for definition); if q is only given in D, then we assume q(x) = 0 for x ∈ R d — D.
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Spline interpolation on unbounded domains
AIP Conference Proceedings, 2016Spline interpolation is a splendid tool for multiscale approximation on unbounded domains. In particular, it is well suited for use by the multilevel summation method (MSM) for calculating a sum of pairwise interactions for a large set of particles in linear time.
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Gauge Theorem for Unbounded Domains
1989Let {xt, t⩾0} be the Brownian motion process in Rd, d⩾1; D a domain (nonempty, open and connected set) in Rd; q a Borel function on D. Put $${\tau_D} = \inf \left\{ {t > 0:{X_t} \notin D} \right\}, $$ and (1) $$u(x) = {E^X}\left\{ {{\tau_D} < \infty; \;\exp \left[ {\int\limits_0^\tau {{}^Dq\left( {{X_t}} \right)dt} } \right]} \right\} $$ (
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Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains
SIAM Journal of Scientific Computing, 2020Tao Tang, Huifang Yuan, Tao Zhou
exaly
BEM simulations over unbounded domains
2005Sommario su volume p. 233. Allegato contributo su CD Rom, 10 pp.
SALVADORI, Alberto +4 more
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