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Global existence and nonexistence of solutions for a system of nonlinear damped wave equations

โœ Scribed by Hiroshi Takeda

Book ID
108178516
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
289 KB
Volume
360
Category
Article
ISSN
0022-247X

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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