In this paper we consider the strongly damped wave equation with time-dependent terms in a bounded domain β¦ β R n , under some restrictions on Ξ² Ξ΅ (t), Ξ³ (t) and growth restrictions on the nonlinear term f . The function Ξ² Ξ΅ (t) depends on a parameter Ξ΅, Ξ² Ξ΅ (t) Ξ΅β0 -β 0. We will prove, under suit
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On non-autonomous strongly damped wave equations with a uniform attractor and some averaging
β Scribed by Hongyan Li; Shengfan Zhou
- Book ID
- 108176074
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 178 KB
- Volume
- 341
- Category
- Article
- ISSN
- 0022-247X
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We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.