Clemens Kienzler

most citedFlat Fronts and Stability for the Porous Medium Equation

3 citations · 3 across the 1 of their papers we have counts for

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math.AP2016

Flatness implies smoothness for solutions of the porous medium equation

Clemens Kienzler, Herbert Koch, Juan Luis Vazquez

One of the major problems in the theory of the porous medium equation is the regularity of the solutions and the free boundaries. Here we assume flatness of the solution in space t…

math.AP2014★ 3 cited

Flat Fronts and Stability for the Porous Medium Equation

Clemens Kienzler

This work is concerned with the equation $\partial_{t} ρ = Δ_{x} ρ^{m}$ , $m > 1$ , known as the porous medium equation. It shows stability of the pressure of solutions close to flat tr…