Entropy solutions for stochastic porous media equations |
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Authors: | K. Dareiotis M. Gerencsér B. Gess |
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Affiliation: | 1. Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany;2. Institute of Science and Technology Austria, Am Campus 1, A – 3400 Klosterneuburg, Austria;3. Faculty of Mathematics, University of Bielefeld, 33615 Bielefeld, Germany |
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Abstract: | We provide an entropy formulation for porous medium-type equations with a stochastic, non-linear, spatially inhomogeneous forcing. Well-posedness and -contraction is obtained in the class of entropy solutions. Our scope allows for porous medium operators for all , and Hölder continuous diffusion nonlinearity with exponent 1/2. |
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Keywords: | Corresponding author. |
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