Attractors for Semigroups and Evolution Equations 2nd Edition by Olga A. Ladyzhenskaya 9781009229791 1009229796

Attractors for Semigroups and Evolution Equations 2nd Edition Olga A. Ladyzhenskaya – Ebook Instant Download/Delivery ISBN(s): 9781009229821,1009229826, 9781009229791, 1009229796

Product details:

• ISBN 10: 1009229796
• ISBN 13: 9781009229791
• Author:  Olga A. Ladyzhenskaya 

In this volume, Olga A. Ladyzhenskaya expands on her highly successful 1991 Accademia Nazionale dei Lincei lectures. The lectures were devoted to questions of the behaviour of trajectories for semigroups of nonlinear bounded continuous operators in a locally non-compact metric space and for solutions of abstract evolution equations. The latter contain many initial boundary value problems for dissipative partial differential equations. This work, for which Ladyzhenskaya was awarded the Russian Academy of Sciences’ Kovalevskaya Prize, reflects the high calibre of her lectures; it is essential reading for anyone interested in her approach to partial differential equations and dynamical systems. This edition, reissued for her centenary, includes a new technical introduction, written by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik, surveying Ladyzhenskaya’s works in the field and subsequent developments influenced by her results.

Table contents:

Part I Attractors for the semigroups of operators: an abstract framework
1 Basic notions
2 Semigroups of class [mathcal(K)] 3 Semigroups of class A[mathcal(K)] Afterword
4 On dimensions of compact invariant sets
Part II Semigroups generated by evolution equations
5 Introduction to Part II
6 Estimates for the number of determining modes and the fractal dimension of bounded invariant sets
7 Evolution equations of hyperbolic type

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