EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH VARIABLE EXPONENT OF NONLINEARITY* |
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作者姓名: | 郭斌 高文杰 |
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作者单位: | Institute of Mathematics,Jilin University |
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基金项目: | Supported by NSFC (10771085), Graduate Innovation Fund of Jilin Univer- sity(20111034), and the 985 program of Jilin University. |
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摘 要: | The authors of this article study the existence and uniqueness of weak solutions of the initial-boundary value problem for ut =div((|u|σ + do)|▽u|P(x,t)-2▽u) +f(x,t) (0 < σ < 2).They apply the method o...
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关 键 词: | Nonlinear parabolic equation nonstandard growth condition localization of solutions |
收稿时间: | 2011-01-04 |
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