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Perturbation of the boundary in boundary-value problems of partial differential equations.

0521574919

Perturbation of the boundary in boundary-value problems of partial differential equations.

Henry, Dan et al.

Cambridge U. Pr.

2005

206 pages

$60.00

Paperback

London Mathematical Society lecture note series; 318

QA379

This work sets out a calculus that bypasses problems associated with the study of perturbation of the boundary in partial differential equations. The book develops general forms of standard theorems which help answer a range of problems involving boundary perturbations. After a chapter on general preliminaries, chapters cover differential calculus of boundary perturbations, the implicit function theorem, bifurcation problems, the transversality theorem, generic perturbation of the boundary, boundary operators for second-order elliptic equations, and the method of rapidly oscillating solutions. Numerous examples are included. Author information is not given.

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Date:Dec 1, 2005
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