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Probabilistic Remarks in the Theory of Scattering by Soft Obstacles
Author(s) -
Gzyl Henryk
Publication year - 2000
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00156
Subject(s) - probabilistic logic , obstacle , scattering , uniqueness , laplace transform , scattering theory , interpretation (philosophy) , mathematical analysis , scattering amplitude , mathematics , physics , computer science , optics , statistics , political science , law , programming language
Considering the Laplace transform in time of the solution to the acoustic wave equation, we make the problem of scattering by a soft obstacle amenable to probabilistic analysis. A uniqueness result is obtained, and a possible probabilistic interpretation of scattering amplitudes is presented.
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