Algebraic L2 Decay for Weak Solutions of the Nonlinear Heat Equations in Whole Space R3

We obtained the algebraic L2 time decay rate for weak solutions of the nonlinear heat equations with the nonlinear term ∇u2u in whole space R3. The methods are based on energy methods and Fourier analysis technique.

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Bibliographic Details
Main Author: Yuexing Yang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/329474
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Summary:We obtained the algebraic L2 time decay rate for weak solutions of the nonlinear heat equations with the nonlinear term ∇u2u in whole space R3. The methods are based on energy methods and Fourier analysis technique.
ISSN:1085-3375
1687-0409