| Abstract: |
| We provide an entropy formulation for porous media-type equations with a stochastic, non-linear, spatially inhomogeneous forcing. Well - posedness and $L_1$-contraction is obtained in the class of entropy solutions. Our scope allows for porous medium operators $\Delta u^{[m]}$ for all $m\in(1,\infty)$, and H\older continuous diffusion nonlinearity with exponent $1/2$. |
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