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l² decay for weak solutions to nonlinear parabolic equation
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نویسنده
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yin xunwu ,chen rudong ,guo fengjun
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منبع
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journal of advanced mathematical studies - 2013 - دوره : 6 - شماره : 2 - صفحه:109 -114
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چکیده
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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.
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کلیدواژه
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fourier splitting method ,decay rate ,weak solutions ,nonlinear parabolic equation
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آدرس
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tianjin polytechnic university, school of science, china, tianjin polytechnic university, school of science, china, tianjin polytechnic university, school of science, china
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Authors
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