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Parabolic Anderson Problem and Intermittency
René CarmonaStanislav A. Molchanov
出版American Mathematical Soc., 1994
主題Mathematics / GeneralMathematics / CalculusMathematics / Differential Equations / PartialMathematics / Probability & Statistics / GeneralMathematics / Probability & Statistics / Stochastic Processes
ISBN08218257719780821825778
URLhttp://books.google.com.hk/books?id=J4jUCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋The subject of the present monograph is the investigation of the asymptotic properties of the solution of the parabolic partial differential equation: [partial derivative/boundary/degree of a polynomial symbol][italic]u[over][partial derivative/boundary/degree of a polynomial symbol][italic]t = [italic]k[capital Greek]Delta[italic]u + [lowercase Greek]Xi[subscript italic]t([italic]x)[italic]u, [italic]u(0, [italic]x) [identical equality symbol] 1, where [lowercase Greek]Xi[subscript italic]t([italic]x) is a random potential. This potential may be time-dependent and the authors do not rule out the possibility that it is a Schwartz distribution instead of a function.