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Algebraic \(L^2\) decay for weak solutions of the nonlinear heat equations in whole space \(\mathbb R\) - MaRDI portal

Algebraic \(L^2\) decay for weak solutions of the nonlinear heat equations in whole space \(\mathbb R\) (Q1723886)

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scientific article; zbMATH DE number 7022182
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Algebraic \(L^2\) decay for weak solutions of the nonlinear heat equations in whole space \(\mathbb R\)
scientific article; zbMATH DE number 7022182

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    Algebraic \(L^2\) decay for weak solutions of the nonlinear heat equations in whole space \(\mathbb R\) (English)
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    14 February 2019
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    Summary: We obtained the algebraic \(L^2\) time decay rate for weak solutions of the nonlinear heat equations with the nonlinear term \(\left|\nabla u\right|^2 u\) in whole space \(\mathbb{R}^3\). The methods are based on energy methods and Fourier analysis technique.
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