Title
A Note on the Strong Convergence of Solutions to a Second Order Evolution Equation
Publication Date
1-1-2013
Document Type
Article
Abstract
In this note, with suitable assumptions on p(t) and r(t), we establish the strong convergence of solutions to the following nonlinear second order evolution equation p(t)u ′′(t) + r(t)u ′ (t) ∈ Au(t), a. e. on R + , u(0) = u0, sup t≥0 |u(t)| < +∞, to a zero of A, without assuming A −1 (0) ̸= ∅, and determine the rate of convergence, where A is a general maximal monotone operator. We present also some applications of our result.
COinS
Comments
Djafari Rouhani B, Khatibzadeh H. A note on the strong convergence of solutions to a second order evolution equation. Journal of Mathematical Analysis and Applications 2013 15 May 2013;401(2):963-6.