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Article Contents

# Finite speed of propagation for the porous media equation with lower order terms

• We study the finite speed of propagation of the Cauchy-Dirichlet problem for the porous media equation with absorption or convection terms in the strip $\mathfrak R_k^N\times (0,T)$, where $\mathfrak R_k^N=\mathfrak R^N\cap\{x_1, ..., x_k>0\}$, $1\leq k\leq N$ and we find new upper bounds of the free boundary.
Finally, we consider the case of higher order parabolic equations.
Mathematics Subject Classification: 34G10, 47D06, 58F11, 92D25.

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