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Existence of solutions for the evolution p(x)-laplacian equation not in divergence form
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نویسنده
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liu c. ,gao j. ,lian s.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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The existence of weak solutions is studied to the initial dirichlet problem of the equation u t = u div (|∇ u| p(x)-2∇ u),with inf p(x) > 2. we adopt the method of parabolic regularization. after establishing some necessary uniform estimates on the approximate solutions,we prove the existence of weak solutions. copyright © 2012 changchun liu et al.
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آدرس
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department of mathematics,jilin university, China, department of mathematics,jilin university, China, department of mathematics,jilin university, China
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Authors
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