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Blow up oscillating solutions to some nonlinear fourth order differential equations

✍ Scribed by Filippo Gazzola; Raffaella Pavani

Book ID
108216801
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
478 KB
Volume
74
Category
Article
ISSN
0362-546X

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On the blow-up of solutions for some fourth order parabolic equations
✍ Ting Cheng; Gao-Feng Zheng πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 193 KB

The universal blow-up of the fourth order parabolic evolution problem is established. We prove that if the energy of the initial datum is negative, then finite time blow-up occurs. Also we get some nondegeneracy results on blow-up for this problem.