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Global existence and uniform decay rates for the semi-linear wave equation with damping and source terms

โœ Scribed by Ha, Tae Gab; Kim, Daewook; Jung, Il Hyo

Book ID
122302908
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
574 KB
Volume
67
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES

Global existence and nonexistence for a
Global existence and nonexistence for a nonlinear wave equation with damping and source terms
โœ Yong Zhou ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 209 KB

## Abstract In this paper we consider a nonlinear wave equation with damping and source term on the whole space. For linear damping case, we show that the solution blows up in finite time even for vanishing initial energy. The criteria to guarantee blowup of solutions with positive initial energy a