Shape Differentiability of the Eigenvalues of Elliptic Systems

D. Buoso

doi:10.1007/978-3-319-16727-5_8

Shape Differentiability of the Eigenvalues of Elliptic Systems

D. Buoso

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Let Ω be a bounded open set in ℝ^N of class C ¹, m ε ℕ. By H ¹(Ω) we denote the Sobolev space Sobolev!space of functions in L ²(Ω) with derivatives in L ²(Ω), and by H ₀¹(Ω) we denote the closure in H ¹(Ω) of the space of C ^∞-functions with compact support in Ω.

Original language	English
Title of host publication	Integral Methods in Science and Engineering
Subtitle of host publication	Theoretical and Computational Advances
Publisher	Springer International Publishing
Pages	91-97
Number of pages	7
ISBN (Electronic)	9783319167275
ISBN (Print)	9783319167268
DOIs	https://doi.org/10.1007/978-3-319-16727-5_8
Publication status	Published - 1 Jan 2015
Externally published	Yes

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title = "Shape Differentiability of the Eigenvalues of Elliptic Systems",

abstract = "Let Ω be a bounded open set in ℝN of class C 1, m ε ℕ. By H 1(Ω) we denote the Sobolev space Sobolev!space of functions in L 2(Ω) with derivatives in L 2(Ω), and by H 01(Ω) we denote the closure in H 1(Ω) of the space of C ∞-functions with compact support in Ω.",

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AB - Let Ω be a bounded open set in ℝN of class C 1, m ε ℕ. By H 1(Ω) we denote the Sobolev space Sobolev!space of functions in L 2(Ω) with derivatives in L 2(Ω), and by H 01(Ω) we denote the closure in H 1(Ω) of the space of C ∞-functions with compact support in Ω.

UR - https://www.scopus.com/pages/publications/105012650736

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BT - Integral Methods in Science and Engineering

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ER -

Shape Differentiability of the Eigenvalues of Elliptic Systems

Abstract

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