Attractors for Semigroups and Evolution Equations

Revised

by Olga A. Ladyzhenskaya

Book Details

Format Paperback / Softback

Book Series Cambridge Mathematical Library

ISBN-10 1009229826

ISBN-13 9781009229821

Edition Revised

Publisher Cambridge University Press

Imprint Cambridge University Press

Country of Manufacture GB

Country of Publication GB

Publication Date Jun 9th, 2022

Print length 115 Pages

Weight 166 grams

Dimensions 15.10 x 22.70 x 1.10 cms

Product Classification: Differential calculus & equations Dynamics & statics

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Olga A. Ladyzhenskaya expands on her 1991 lectures on attractors for semigroups and evolution equations. This edition includes a technical introduction surveying Ladyzhenskaya's work in the field and subsequent developments. It is essential reading for anyone interested in her approach to partial differential equations and dynamical systems.

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.

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