Heat-kernels and maximal \(L^p\)-\(L^q\)-estimates: The non-autonomous case (Q1588370)
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scientific article; zbMATH DE number 1539360
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Heat-kernels and maximal \(L^p\)-\(L^q\)-estimates: The non-autonomous case |
scientific article; zbMATH DE number 1539360 |
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Heat-kernels and maximal \(L^p\)-\(L^q\)-estimates: The non-autonomous case (English)
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21 February 2002
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The authors obtained a priori maximal (in the sense of regularity) \(L^p\)-\(L^q\)-estimates for solutions to the Cauchy problem for non-autonomous evolution equation under special conditions on the family of resolvent operators. The abstract result is illustrated by applications to semilinear problems.
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non-autonomous evolution equation
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conditions on the family of resolvent operators
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