Elliptic Problems in Nonsmooth Domains

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Pierre Grisvard (1940-1994) was Professor of Mathematics at the University of Nice, France, and Director of the Institute Henri Poincare in Paris.

出版者:Society for Industrial and Applied Mathematics (SIAM)
作者:Grisvard, Pierre
出品人:
页数:425
译者:
出版时间:2011
价格:USD 105.50
装帧:Softcover
isbn号码:9781611972023
丛书系列:Classics in Applied Mathematics
图书标签:
  • in 
  • Problems 
  • Nonsmooth 
  • Elliptic 
  • Domains 
  • 数学 
  • PDE 
  •  
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This classic text focuses on elliptic boundary value problems in domains with nonsmooth boundaries and on problems with mixed boundary conditions. Its contents are essential for an understanding of the behavior of numerical methods for partial differential equations (PDEs) on two-dimensional domains with corners.

Elliptic Problems in Nonsmooth Domains

• provides a careful and self-contained development of Sobolev spaces on nonsmooth domains,

• develops a comprehensive theory for second-order elliptic boundary value problems, and

• addresses fourth-order boundary value problems and numerical treatment of singularities.

This book is intended for researchers and graduate students in computational science and numerical analysis who work with theoretical and numerical PDEs. Readers need only a background in functional analysis to find the material accessible.

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