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- W2017890641 abstract "Methods derived from the theory of several complex variables are used as a means of analyzing a class of two-dimensional transport problems in a scattering and absorbing quarter space (0 ≤ x1, 0 ≤ x2, − ∞ ≤ x3 ≤ ∞) described by a linear, one-speed Boltzmann equation. Using Fourier transformation and the Bochner decomposition, the multivariable analog of the Wiener-Hopf factorization, we find the Green's function in transform space, which solves all source problems having a solution bounded at infinity. The transform of the density asymptotically far from the corner (x1 = x2 = 0) is determined explicitly, while the remainder is given in terms of the solution to a pair of Fredholm equations." @default.
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- W2017890641 date "1971-05-01" @default.
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- W2017890641 title "Two‐Dimensional Quarter Space Problems in One‐Speed Transport Theory" @default.
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- W2017890641 doi "https://doi.org/10.1063/1.1665644" @default.
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