内容简介

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

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豆瓣评论

  • Cauchy的眼泪
    真的是一本好书,关于sobolev空间部分尤其好!但是泛函部分作为参考更好,例如:Hahn-Banach延拓部分写的简洁但也略微生硬,有很多跳步。书中给了不少有价值的参考文献和remarks,如果读过Brezis 1999年advances的一篇文章“partial differential equations in 20 century”可能会觉得这些remarks有会心一笑的感觉。2023-01-29
  • 。。。
    不经感慨自己不仅仅生活中是loser,精神上更是loser2023-09-25
  • Kevin
    读了泛函的一部分,特色可能是给出了共轭凸函数理论,banach空间线性算子左右逆的一些刻画,卷积的正则化等2020-08-06

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