๐”– Bobbio Scriptorium
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The first Darboux problem for wave equations with a nonlinear positive source term

โœ Scribed by O. Jokhadze; B. Midodashvili

Book ID
111713448
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
338 KB
Volume
69
Category
Article
ISSN
0362-546X

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Stable and unstable sets for the Cauchy
Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
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