Convergence to steady states in asymptotically autonomous semilinear evolution equations

✍ Scribed by R. Chill; M.A. Jendoubi

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 235 KB
• Volume: 53
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(03)00037-3

✦ Synopsis

We study the convergence to equilibrium of bounded solutions of the nonautonomous ÿrst-order problem u + Mu = g(t); t∈ R+ and of the second-order problem u + u + Mu = g(t); t∈ R+:

Applications to di usion, wave, Cahn-Hilliard and Kirchho -Carrier equations are described.