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

abstract and applied analysis

Algebraic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Decay for Weak Solutions of the Nonlinear Heat Equations in Whole Space<b>R</b><sup>3</sup>

AlgebraicL2Decay for Weak Solutions of the Nonlinear Heat Equations in Whole SpaceR3

AlgebraicL2Decay for Weak Solutions of the Nonlinear Heat Equations in Whole SpaceR³