Measures of noncompactness (Q1876438)
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scientific article; zbMATH DE number 2097371
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measures of noncompactness |
scientific article; zbMATH DE number 2097371 |
Statements
Measures of noncompactness (English)
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7 September 2004
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The author obtains estimates for the measure of noncompactness of bounded subsets of Bochner spaces, discusses a new class of condensing operators, and proves the solvability of the Cauchy problem. This is an English translation of the author's article published in the book [\textit{S. K. Vodop'yanov} (ed.), Proceedings on Analysis and Geometry. International conference in honor of the 70th birthday of Professor Yu. G. Reshetnyak. Novosibirsk: Izdatel'stvo Instituta Matematiki (2000; Zbl 0992.47025)].
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Bochner space
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Hilbert space
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Lebesgue space
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Sobolev space
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embedding operator
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measure of noncompactness
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