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Local existence and global nonexistence theorems for a damped nonlinear hyperbolic equation

โœ Scribed by Guowang Chen; Ruili Song; Shubin Wang


Book ID
108178664
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
226 KB
Volume
368
Category
Article
ISSN
0022-247X

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Global existence and nonexistence for a
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