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有读书笔记Maximum Principles in Differential Equations

yhhuang 添加于 2010-1-29 14:36 | 1847 次阅读 | 0 个评论
  •  作 者

    Murray H. Protter, Hans F. Weinberger
  •  摘 要

    Maximum Principles are central to the theory and applications of second order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications.
  •  详细资料

    • 文献种类:书籍
    • 期卷页: 276
    • 出版社: Springer
    • 日期: 1999-04-23
    • ISBN: 9780387960685
  •  标 签

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  •  yhhuang 的文献笔记  订阅

    The first book about the classical maximum principles for non-divergence equations. From maximum principles, we can get a lot of qualitative information about the underlying equations.

    1. Uniqueness of the solution
    2. Boundness of the solution, in terms of initial and boundary conditions
    3. Esitimates on the derivatives
    4. Liouville type theorems
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