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  3. Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations
  • Cited by 89
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      May 2005
      ISBN:
      9780511546730
      9780521574914
      DOI:
      https://doi.org/10.1017/CBO9780511546730
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.32kg, 216 Pages
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
      Series:
      London Mathematical Society Lecture Note Series (318)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
    Series:
    London Mathematical Society Lecture Note Series (318)
    Information

    Book description

    Perturbation of the boundary is a rather neglected topic in the study of PDEs for two main reasons. First, on the surface it appears trivial, merely a change of variables and an application of the chain rule. Second, carrying out such a change of variables frequently results in long and difficult calculations. In this book, first published in 2005, the author carefully discusses a calculus that allows the computational morass to be bypassed, and he goes on to develop more general forms of standard theorems, which help answer a wide range of problems involving boundary perturbations. Many examples are presented to demonstrate the usefulness of the author's approach, while on the other hand many tantalizing open questions remain. Anyone whose research involves PDEs will find something of interest in this book.

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