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A note on blow-up of solutions for the nonlocal quasilinear parabolic equation with positive initial energy

โœ Scribed by Fang, Zhong; Sun, Lu; Li, Changjun

Book ID
121623166
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
163 KB
Volume
2013
Category
Article
ISSN
1687-2762

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Blow up of positive initial energy solut
Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation
โœ Liqing Lu; Shengjia Li ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 221 KB

In this paper, we consider a strongly damped wave equation with fractional damping on part of its boundary and also with an internal source. Under some appropriate assumptions on the parameters, and with certain initial data, a blow-up result with positive initial energy is established.