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Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure
作者姓名:Hui Jun FAN Institute of Mathematics  Academy of Mathematics and System Sciences  Chinese Academy of Sciences  Beijing  P.R.China
作者单位:Hui Jun FAN Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,P.R.China
基金项目:Supported by the Research Fund for Returned overseas Chinese Scholars 20010107
摘    要:This paper discusses the Cauchy problem of the equationu_t=▽·(▽_u~m|~(p-2)▽_u~m)-u~qwith initial datum a measure.Under the assumption of the parameters,one proves the existence andnou-existence of the non-negative generalized solution.


Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure
Hui Jun FAN Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing ,P.R.China.Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure[J].Acta Mathematicae Applicatae Sinica,2004(4).
Authors:Hui Jun FAN Institute of Mathematics  Academy of Mathematics and System Sciences  Chinese Academy of Sciences  Beijing  PRChina
Affiliation:Hui Jun FAN Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,P.R.China
Abstract:
Keywords:Cauchy problem  Degenerate  Existence  Measure
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