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Finite time extinction in nonlinear diffusion equations

Peplow, A. T.; Beardmore, R. E.; Laister, R.


A. T. Peplow

R. E. Beardmore


We consider a class of degenerate diffusion equations where the nonlinearity is assumed to be singular (non-Lipschitz) at zero. It is shown that solutions with compactly supported initial data become identically zero in finite time. Such extinction follows by comparison with newly constructed finite travelling waves connecting two stable equilibria. © 2004 Elsevier Ltd. All rights reserved.


Beardmore, R. E., Peplow, A. T., & Laister, R. (2004). Finite time extinction in nonlinear diffusion equations. Applied Mathematics Letters, 17(5), 561-567.

Journal Article Type Article
Publication Date Jan 1, 2004
Journal Applied Mathematics Letters
Print ISSN 0893-9659
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 17
Issue 5
Pages 561-567
Keywords finite travelling waves, degenerate diffusion, singular, extinction
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