Uniform boundedness and convergence of solutions to the systems with cross-diffusions dominated by self-diffusions (Q1863662)
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scientific article; zbMATH DE number 1880145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform boundedness and convergence of solutions to the systems with cross-diffusions dominated by self-diffusions |
scientific article; zbMATH DE number 1880145 |
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Uniform boundedness and convergence of solutions to the systems with cross-diffusions dominated by self-diffusions (English)
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11 March 2003
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The author proves the uniform boundedness and convergence of global solution for quasilinear parabolic systems with cross-diffusions dominated by self-diffusions in population dynamics. Applying Gagliardo-Nirenberg type inequalities, some uniform \(W_2^1\)-bounds uniform in time are established. Convergence of solutions is established for systems with large diffusion coefficients.
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quasilinear parabolic systems
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Gagliardo-Nirenberg type inequalities
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