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arXiv:0906.4233 [math.AP]AbstractReferencesReviewsResources

Self-similar blow-up in parabolic equations of Monge--Ampère type

C. R. Budd, V. A. Galaktionov

Published 2009-06-23Version 1

We propose nonlinear parabolic equations of Monge--Amp\'ere (M--A) type that admit regional, single poin, and global blow-up of similarity type. A similar model is derived for a fourth-order M--A flow.

Comments: 43 pages, 23 figures
Categories: math.AP
Subjects: 35K55, 35K65
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