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arXiv · 1712.05775

Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise

Benjamin Fehrman·Benjamin Gess
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Abstract

We prove the pathwise well-posedness of stochastic porous media and fast diffusion equations driven by nonlinear, conservative noise. As a consequence, the generation of a random dynamical system is obtained. This extends results of the second author and Souganidis, who considered analogous spatially homogeneous and first-order equations, and earlier works of Lions, Perthame, and Souganidis.

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Benjamin Fehrman, Benjamin Gess. 2017-12-15. Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise. https://arxiv.org/abs/1712.05775

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