Differential and Integral Equations

Decay for the solutions of nonlinear abstract damped evolution equations with applications to partial and ordinary differential systems

M. Cesarina Salvatori and Enzo Vitillaro

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

This paper deals with decay properties for the solutions of second-order damped abstract evolution equations. A large number of applications is given, concerning damped wave systems, more general systems of evolution type, and Lagrangian quasi-variational systems. We consider the case in which the time-dependence of the damping term is bounded.

Article information

Source
Differential Integral Equations, Volume 11, Number 2 (1998), 223-262.

Dates
First available in Project Euclid: 30 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367341069

Mathematical Reviews number (MathSciNet)
MR1741844

Zentralblatt MATH identifier
1004.35101

Subjects
Primary: 35B40: Asymptotic behavior of solutions
Secondary: 34G20: Nonlinear equations [See also 47Hxx, 47Jxx] 35B35: Stability

Citation

Salvatori, M. Cesarina; Vitillaro, Enzo. Decay for the solutions of nonlinear abstract damped evolution equations with applications to partial and ordinary differential systems. Differential Integral Equations 11 (1998), no. 2, 223--262. https://projecteuclid.org/euclid.die/1367341069


Export citation