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Attractors for semigroups and evolution equations

1991/01/01 by O. A. Ladyzhenskaya · 670 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Applied mathematics #Attractor #Computer science #Differential Equations and Boundary Problems #Mathematical analysis #Mathematics #Stability and Controllability of Differential Equations

paper · doi:10.1017/cbo9780511569418

published in Cambridge University Press eBooks (Cambridge University Press)

openalex publication_date 1991/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

This book presents an expansion of the highly successful lectures given by Professor Ladyzhenskaya at the University of Rome, 'La Sapienza', under the auspices of the Accademia dei Lencei. The lectures were devoted to questions of the behaviour of trajectories for semi-groups of non-linear bounded continuous operators in a locally non-compact metric space and for solutions of abstract evolution equations. The latter contain many boundaries value problems for partial differential equations of a dissipative type. Professor Ladyzhenskaya was an internationally renowned mathematician and her lectures attracted large audiences. These notes reflect the high calibre of her lectures and should prove essential reading for anyone interested in partial differential equations and dynamical systems.

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