Abstract
We consider the equation $u_t+(u^nu_{xxx})_x=0$ with $2\le n <3$ and establish an estimate for the finite speed of propagation of the support of compactly supported nonnegative solutions. The estimate depends only on the $L^1$-norm and is valid a posteriorifor strong solutions obtained through a Bernis-Friedman regularization.
Citation
Josephus Hulshof. Andrey E. Shishkov. "The thin film equation with $2 \leq n<3$: finite speed of propagation in terms of the $L^1$-norm." Adv. Differential Equations 3 (5) 625 - 642, 1998. https://doi.org/10.57262/ade/1366292556
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