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Global Cauchy problem for wave equations with a nonlinear damping term

โœ Scribed by Jokhadze, O. M.


Book ID
125392739
Publisher
Springer
Year
2014
Tongue
English
Weight
327 KB
Volume
50
Category
Article
ISSN
0012-2661

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๐Ÿ“œ SIMILAR VOLUMES


Stable and unstable sets for the Cauchy
โœ Grozdena Todorova ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 396 KB

For the Cauchy problem for the nonlinear wave equation with nonlinear damping and source terms we define stable and unstable sets for the initial data. We prove that, if during the evolution the solution enters into the stable set, the solution is global and we are able to estimate the decay rate of