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arXiv · 1712.06655

Supremum estimates for degenerate, quasilinear stochastic partial differential equations

Konstantinos Dareiotis·Benjamin Gess
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Abstract

We prove a priori estimates in $L_\infty$ for a class of quasilinear stochastic partial differential equations. The estimates are obtained independently of the ellipticity constant $\varepsilon$ and thus imply analogous estimates for degenerate quasilinear stochastic partial differential equations, such as the stochastic porous medium equation.

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Konstantinos Dareiotis, Benjamin Gess. 2017-12-18. Supremum estimates for degenerate, quasilinear stochastic partial differential equations. https://doi.org/10.1214/18-aihp934

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