On the sum of maximal monotone operators and an application to a nonlinear integro-differential equation (Q1308526)
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scientific article; zbMATH DE number 459201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sum of maximal monotone operators and an application to a nonlinear integro-differential equation |
scientific article; zbMATH DE number 459201 |
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On the sum of maximal monotone operators and an application to a nonlinear integro-differential equation (English)
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25 May 1997
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This paper deals with the sum of a linear \(L\) and a nonlinear \(A\) maximal monotone operators in a Hilbert space. It is proved that under certain conditions the sum \(L+A\) with domain \(D(L+A)= D(L)\cap D(A)\) is maximal monotone as well. As an application existence and uniqueness result is proved for strong solutions of nonlinear integrodifferential equations.
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sum
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maximal monotone operators
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strong solutions of nonlinear integrodifferential equations
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