Translator Disclaimer
1998 The thin film equation with $2 \leq n<3$: finite speed of propagation in terms of the $L^1$-norm
Josephus Hulshof, Andrey E. Shishkov
Adv. Differential Equations 3(5): 625-642 (1998).

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

Download 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.

Information

Published: 1998
First available in Project Euclid: 18 April 2013

zbMATH: 0953.35072
MathSciNet: MR1665858

Subjects:
Primary: 35Q53
Secondary: 76D99

Rights: Copyright © 1998 Khayyam Publishing, Inc.

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.3 • No. 5 • 1998
Back to Top