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Existence and Uniqueness of Solutions to the Stochastic Porous Media Equations of Saturated Flows

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Abstract

This paper proves the existence and uniqueness of nonnegative solutions for the stochastic porous media equations with multiplicative noise, infinite jump and discontinuous diffusivity function relevant in description of saturation processes in underground water infiltration in a bounded domain of ℝ3.

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  1. Department of Mathematics, Faculty of Economics and Business Administration, “Al. I. Cuza” University, Bd. Carol no. 9-11, Iaşi, România

    Ioana Ciotir

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  1. Ioana Ciotir
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Ciotir, I. Existence and Uniqueness of Solutions to the Stochastic Porous Media Equations of Saturated Flows. Appl Math Optim 61, 129 (2010). https://doi.org/10.1007/s00245-009-9078-9

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  • DOI: https://doi.org/10.1007/s00245-009-9078-9

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