\(L^p\) estimates for the uniform norm of solutions of quasilinear SPDE's (Q2575674)
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| Language | Label | Description | Also known as |
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| English | \(L^p\) estimates for the uniform norm of solutions of quasilinear SPDE's |
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\(L^p\) estimates for the uniform norm of solutions of quasilinear SPDE's (English)
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6 December 2005
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This paper proves \(L^p\) estimates (\(p\geq2\)) for the uniform norm of the paths of solutions of quasilinear stochastic partial differential equations (SPDE) of parabolic type. The method is based on a version of Moser's iteration scheme developed by Aronson and Serrin in the context of nonlinear parabolic PDE.
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Stochastic partial differential equation
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Itô's formula
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Maximum principle
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Moser's iteration
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0.9339392
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0.9138007
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0.9134682
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0.9118525
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0.91098356
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0.91098356
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0.9059304
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0.9030754
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0.9000617
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