Existence and Nonuniqueness of Weak Solutions of the Initial-Boundary Value Problem for u_t = u~σdiv(|u|~(p-2)u) |
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引用本文: | 周文书,伍卓群.Existence and Nonuniqueness of Weak Solutions of the Initial-Boundary Value Problem for u_t = u~σdiv(|u|~(p-2)u)[J].东北数学,2005(2). |
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作者姓名: | 周文书 伍卓群 |
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作者单位: | School of Mathematics,Jilin University,Changchun,130012,School of Mathematics,Jilin University,Changchun,130012 |
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基金项目: | The Young Teachers Foundation (420010302318) of Jilin University. |
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摘 要: | In this paper, we study the existence and nonuniqueness of weak solutions of the initial and boundary value problem for ut= uσdiv(|△u|p-2△u) with σ≥1. Localization property of weak solutions is also discussed.
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