Evolution inclusions in non separable Banach spaces (Q2761022)
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scientific article; zbMATH DE number 1682885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evolution inclusions in non separable Banach spaces |
scientific article; zbMATH DE number 1682885 |
Statements
17 December 2001
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evolution inclusions
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mild solutions
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Lusin measurable multifunctions
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Banach spaces
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relaxation
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0.9869136
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0.93001795
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0.92107725
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0.9204996
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0.9190359
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Evolution inclusions in non separable Banach spaces (English)
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The authors investigate the existence of mild solutions and relaxation conditions to the Cauchy problem for evolution inclusions \(x'(t)\in A x(t)+F(t,x(t))\), \(x(0)=a\), in an arbitrary (not necessarily separable) Banach space, where \(A\) generates a strongly continuous semigroup of bounded linear operators and \(F\) satisfies Filippov-type assumptions. Some properties of Lusin measurable multifunctions are also discussed.
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