Global solutions of semilinear heat equations in Hilbert spaces (Q1809774)
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scientific article; zbMATH DE number 1370659
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global solutions of semilinear heat equations in Hilbert spaces |
scientific article; zbMATH DE number 1370659 |
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Global solutions of semilinear heat equations in Hilbert spaces (English)
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25 November 1999
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Summary: The existence, uniqueness, regularity and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of one-parameter strongly continuous semigroups of bounded linear operators. Applications to special semilinear heat equations in \(L^2(\mathbb{R}^n)\) governed by pseudodifferential operators are given.
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existence
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uniqueness
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regularity
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asymptotic behavior
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global solutions of semilinear heat equations
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one-parameter strongly continuous semigroups
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pseudodifferential operators
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