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On the regularization effect of space-time white noise on quasi-linear parabolic partial differential equations - MaRDI portal

On the regularization effect of space-time white noise on quasi-linear parabolic partial differential equations (Q1326249)

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scientific article; zbMATH DE number 568988
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On the regularization effect of space-time white noise on quasi-linear parabolic partial differential equations
scientific article; zbMATH DE number 568988

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    On the regularization effect of space-time white noise on quasi-linear parabolic partial differential equations (English)
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    11 August 1994
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    We show that an existence and uniqueness and a comparison theorem hold if we add a space-time white noise to a quasi-linear parabolic equation in one space dimension, even if the nonlinearity is only measurable and not even locally bounded.
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    existence and uniqueness
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    comparison theorem
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