Evolution differential equations in Fréchet sequence spaces (Q2804266)
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scientific article; zbMATH DE number 6574985
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evolution differential equations in Fréchet sequence spaces |
scientific article; zbMATH DE number 6574985 |
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Evolution differential equations in Fréchet sequence spaces (English)
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28 April 2016
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Cauchy-Kovalevskaya problem
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infinite-dimensional evolution equation
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infinite-order system of ODEs
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countable system of ODEs
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This paper adapts the classical majorant method for Cauchy-Weierstrass-Kovalevskaya problems to study the Cauchy problem for evolution differential equations in Fréchet spaces with unconditional Schauder bases. Applications concerning linear PDEs and the Smoluchowski equation are also provided.
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