Attractors for semigroups and evolution equations / Olga A. Ladyzhenskaya ; with an introduction by Gregory A. Seregin, Steklov Institute of Mathematics, St Petersburg and University of Oxford, Varga K. Kalantarov, Koc University, Istanbul, Sergey V. Zelik, University of Surrey.
By: Ladyzhenskai͡a, O. A. (Olʹga Aleksandrovna) [author.]
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BookSeries: Cambridge mathematical library: Publisher: Cambridge : Cambridge University Press, 2022Description: 1 online resource (xxviii, 68 pages) : digital, PDF file(s).Content type: text Media type: computer Carrier type: online resourceISBN: 9781009229814 (ebook).Subject(s): Semigroups of operators | Evolution equations | Attractors (Mathematics)Additional physical formats: Print version: : No titleDDC classification: 512/.2 Online resources: Click here to access online Summary: 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.
"Reprinted with introduction, 2022"--Title page.
Title from publisher's bibliographic system (viewed on 07 Apr 2022).
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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