Necessary and sufficient conditions for the solvability and maximal regularity of abstract differential equations of mixed type in UMD spaces (Q763969)
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scientific article; zbMATH DE number 6020900
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary and sufficient conditions for the solvability and maximal regularity of abstract differential equations of mixed type in UMD spaces |
scientific article; zbMATH DE number 6020900 |
Statements
Necessary and sufficient conditions for the solvability and maximal regularity of abstract differential equations of mixed type in UMD spaces (English)
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3 April 2012
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The author studies the maximal regularity for a class of second order abstract differential equations with mixed type boundary conditions when the underlying Banach space is a UMD space. The main result provides a necessary and sufficient conditions on the data for the existence and uniqueness of strict solutions of the equations.
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second order abstract differential equation
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boundary problem
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maximal regularity
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elliptic equation
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0.9416897
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0.88485414
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0.8784039
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0.87053466
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0.86758095
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