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BRANCHING DIFFUSION PROCESSES IN AN UNBOUNDED DOMAIN

Mathematics of the USSR-Sbornik, 1982
In this paper sufficient conditions are found for existence of maximal isolated eigenvalues in the spectrum of the mathematical expectation of a branching diffusion process in an unbounded domain, and limit theorems are proved.Bibliography: 12 titles.
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Modeling Unbounded Domains

2002
Although the physical world is finite, from a mathematical point of view, very large domains must often be modeled as infinite ones. This is particularly true for waves which can be propagated on distances which correspond to several hundreds or even several thousands of wavelengths.
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Gaugeability for Unbounded Domains

1990
Let 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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Symmetric Stable Processes on Unbounded Domains

Potential Analysis, 2006
The 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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Classical coupled thermoelasticity in unbounded domains

Journal of Elasticity, 1989
Some 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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ON AN ESTIMATE OF THE DIRICHLET INTEGRAL IN UNBOUNDED DOMAINS

Mathematics of the USSR-Sbornik, 1976
For an arbitrary unbounded region satisfying a certain condition (, and can be such that a lower bound for the Dirichlet integral is established for all functions in which have finite moment , . The bound of the Dirichlet integral is a positive function of the variables , , and , , and is determined by certain geometric characteristics of .Bibliography:
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Maximum Principles for k-Hessian Equations with Lower Order Terms on Unbounded Domains

Journal of Geometric Analysis, 2020
T. Bhattacharya, Ahmed Mohammed
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A Note on Stability in Unbounded Domains

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1974
Carmi, S., Ebenstein, S.
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