On a random scaled porous media equation |
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Authors: | Viorel Barbu,Michael Rö ckner |
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Affiliation: | a Department of Mathematics, Al.I. Cuza University, Ia?i, Romania b Octav Mayer Institute of Mathematics, Ia?i, Romania c Department of Mathematics and BiBoS, Bielefeld University, Bielefeld, Germany |
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Abstract: | It is shown that a random scaled porous media equation arising from a stochastic porous media equation with linear multiplicative noise through a random transformation is well-posed in L∞. In the fast diffusion case we show existence in Lp. |
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Keywords: | 76505 60H15 |
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