The existence of global attractors for a class of nonlinear dissipative evolution equations
Published online by Cambridge University Press: 12 July 2007
Abstract
In this work we consider the Cauchy problem associated with dissipative perturbations of infinite-dimensional Hamiltonian systems. we describe abstract conditions under which the problem is locally and globally well posed. Moreover, we establish the existence of global attractor. Finally, we present several applications of the theory.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 5 , October 2005 , pp. 887 - 913
- Copyright
- Copyright © Royal Society of Edinburgh 2005
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