Attractors for Semigroups and Evolution Equations (Cambridge Mathematical Library)

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Attractors for Semigroups and Evolution Equations (Cambridge Mathematical Library)

Ladyzhenskaya, Olga A./ Seregin, Gregory A. (FRW)/ Kalantarov, Varga K. (FRW)

ウェブストア価格 ¥5,874（本体¥5,340）
Cambridge University Press（2022/06発売）
外貨定価 US$ 28.00
ポイント 53pt

オンデマンド(OD/POD)版です。キャンセルは承れません。

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製本 Paperback:紙装版/ペーパーバック版／ページ数 115 p.
言語 ENG
商品コード 9781009229821
DDC分類 515.39

Full Description

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.

Part I. Attractors for the Semigroups of Operators: 1. Basic notions; 2. Semigroups of class K; 3. Semigroups of class AK; 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 for the Navier-Stokes equations; 7. Evolution equations of hyperbolic type; References; Index.