| BEHAVIOR OF SOLUTIONS TO A DEGENERATE DIFFUSION PROBLEM |
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| 作者姓名： | 尹景学 高夯 |
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| 作者单位： | YIN JINGXUE(Department of Mathematics，Jilin University，Changchun 130023，China)GAO HANG(Department of Mathematics，Northeast Normal University，Changchun 130024，China) |
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| 摘 要： | 1.IntroductionInthispaper,weareconcernedwiththebehaviorofsolutionsofthefollowingproblemwheretheinitialdata"o(x)satisfiesnoEW"oo(a,b)and"o(x)20a.e.in(a,6).(1.4)Definition1.AnonnegativefunctionuELoo(0,co);W'loo(n))withfi=(a,b)iscalledaweaksolutionoftheproblem(1.1)--(1.3)ifthefollowingconditionsarefulfilled:(i)acEL'(flx0,F])foranyT>0,(n)usatisfiestheX..d.yvaluecondition(l.2)intheusualsense.(iii)FOranytestfunctiongbEC2)1(fix0, co))withgb(a,t)~op(b,t)~0,thereholdstheintegralequalityRecellt…
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| 收稿时间： | 31 March 1993 |
Behavior of solutions to a degenerate diffusion problem |
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| Jingxue Yin,Hang Gao.BEHAVIOR OF SOLUTIONS TO A DEGENERATE DIFFUSION PROBLEM[J].Acta Mathematicae Applicatae Sinica,1997,13(2):188-195. |
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| Authors: | Jingxue Yin Hang Gao |
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| Institution: | (1) Department of Mathematics, Jilin University, 130023 Changchun, China;(2) Department of Mathematics, Northeast Normal University, 130024 Changchun, China |
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| Abstract: | The goal of this work is to study the behavior of solutions to a degenerate diffusion problem. The main interests center on the extinction properties and evolution of the supports of solutions for the equations considered. |
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| Keywords: | Diffusion problem extinction evolution of support |
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