Title of article
L² DECAY FOR WEAK SOLUTIONS TO NONLINEAR PARABOLIC EQUATION
Author/Authors
YIN ، XUNWU - Tianjin Polytechnic University , CHEN ، RUDONG - Tianjin Polytechnic University , GUO ، FENGJUN - Tianjin Polytechnic University
Pages
6
From page
109
To page
114
Abstract
In this article, we investigate the decay rate for solutions to nonlinear parabolic equation in RN(N ≥ 3). With the help of the classical Fourier splitting method, we prove that decay rate is t−^N/4 in L² norm. It happened that the estimate for the decay rate is in accordance with that of the solution of the linear heat conduction equation.
Keywords
Fourier splitting method , decay rate , weak solutions , nonlinear parabolic equation
Journal title
Journal of Advanced Mathematical Studies
Serial Year
2013
Journal title
Journal of Advanced Mathematical Studies
Record number
2477737
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