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Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term

โœ Scribed by Jong Yeoul Park; Jeong Ja Bae; Il Hyo Jung


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
118 KB
Volume
50
Category
Article
ISSN
0362-546X

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โœ M.L. Santos; J. Ferreira; D.C. Pereira; C.A. Raposo ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

We consider a nonlinear wave equation of Kirchho type with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We proved that the energy decay with the same rate of decay of the relaxation function, that is, the energy decays exponentially when the r