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Asymptotic eigenvalue distributions for pairs of elliptic bilinear forms (Q795229)

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scientific article; zbMATH DE number 3861672
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Asymptotic eigenvalue distributions for pairs of elliptic bilinear forms
scientific article; zbMATH DE number 3861672

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    Asymptotic eigenvalue distributions for pairs of elliptic bilinear forms (English)
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    1983
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    In this paper the author considers the eigenvalue problem \((*)\quad a(x,D)=\lambda b(x,D)u\) where a(x,D), b(x,D) are symmetric, strongly Douglis-Nirenberg elliptic in an open set X of \({\mathbb{R}}^ n\). Under suitable conditions he proves a Weyl type formula for the distribution function: \(\nu(a,b,t)=\#\{\lambda_ j:| \lambda_ j|<t\}\) where \(\lambda_ j\) satisfies (*).
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    pairs of elliptic bilinear forms
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    strongly Douglis-Nirenberg elliptic
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    Weyl type formula
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