Compactness methods for nonlinear evolutions

著者

• Vrabie, I. I. (Ioan I.)

書誌事項

Compactness methods for nonlinear evolutions

I.I. Vrabie

（Pitman monographs and surveys in pure and applied mathematics, 75）

Longman , Wiley, 1995

2nd ed

• : us

注記

Includes bibliographical references (p. [229]-239) and index

内容説明・目次

内容説明

This monograph provides a self-contained and comprehensive account of the most significant existence results obtained over the past two decades referring to some remarkable classes of ill-posed problems governed by non-accretive operators. All the results are derived from several compactness arguments, due mainly to the author, and are suitably illustrated by examples arising from various concrete problems - for example, nonlinear diffusion, heat conduction in materials with memory, fluid dynamics, and vibrations of a string with memory. Reference is made to optimal control theory in order to emphasize the degree of applicability of abstract compactness methods. Special attention is paid to multivalued perturbations of m-accretive operators; this case is analyzed under appropriate assumptions in order to allow the use of the general results in the study of some specific problems of great practical interest: reaction-diffusion and closed loop systems. Some biographical comments and open problems are also included. This new edition contains a number of improvements, corrections and insertions which both simplify and update the material. The book will be of interest to graduate students and specialists working in abstract evolution equations, partial differential equations, reaction-diffusion systems and ill-posed problems. A knowledge of topology, functional analysis and ordinary differential equations to undergraduate level is assumed.

目次

Foreword Preface Preface to the Second Edition Notation and Conventions Elements of Nonlinear Functional Analysis Fundamental Compactness Results Nonlinear Perturbations of Accretive Operators Demiclosed Perturbations of Subdifferentials Functional and Integrodifferential Equations Bibliographical Notes, Comments and Open Problems References Index

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詳細情報

• NII書誌ID(NCID): BA25693410
• ISBN:
  • 0582248728
  • 0470235535
• LCCN: 95010432
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Harlow, Essex, England,New York
• ページ数/冊数: xvi, 241 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA372
  • DC20 : 515/.353
• 件名:
  • LCSH : Evolution equations, Nonlinear
• 親書誌ID:
  • BA00259196