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• W4285492523 abstract "We show well-posedness of the p-Laplace evolution equation on Rd with square integrable random initial data for arbitrary 1<p<∞ and arbitrary space dimension d∈N. The noise term on the right-hand side of the equation may be additive or multiplicative. Due to a lack of coercivity of the p-Laplace operator in the whole space, the possibility to apply well-known existence and uniqueness theorems in the classical functional setting is limited to certain values of 1<p<∞ and also depends on the space dimension d. We propose a framework of functional spaces which is independent of Sobolev space embeddings and space dimension. For additive noise, we show existence using a time discretization. Then, a fixed-point argument yields the result for multiplicative noise." @default.
• W4285492523 created "2022-07-15" @default.
• W4285492523 creator A5022609402 @default.
• W4285492523 creator A5046546216 @default.
• W4285492523 date "2022-07-15" @default.
• W4285492523 modified "2023-10-18" @default.
• W4285492523 title "The stochastic <i>p</i>-Laplace equation on" @default.
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• W4285492523 doi "https://doi.org/10.1080/07362994.2022.2091600" @default.
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