Existence of global solutions to reaction-diffusion systems via a Lyapunov functional (Q2753146)
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scientific article; zbMATH DE number 1667113
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of global solutions to reaction-diffusion systems via a Lyapunov functional |
scientific article; zbMATH DE number 1667113 |
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24 January 2002
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polynomial functionals
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chemical reaction models
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Existence of global solutions to reaction-diffusion systems via a Lyapunov functional (English)
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For a class of coupled reaction-diffusion equations on a bounded domain of \(\mathbb{R}^N\) the author constructs polynomial functionals which give \(L^p\)-bounds of solutions. From these bounds global existence results are deduced. Applications to systems arising in chemical reaction models are given.
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