Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure

Cauchy Problem of Some Doubly Degenerate Parabolic Equations with Initial Datum a Measure
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DOI:
10.1007/s10114-004-0375-6
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发表时间:
2004-06
期刊:
Acta Mathematica Sinica
影响因子:
--
通讯作者:
H. Fan
H. Fan
中科院分区:
其他
文献类型:
--
作者:
H. Fan

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本文讨论了方程ut=∇·(& verbar; um& verbar;p-2∇um)-uq的柯西问题,初始基准为测度。在参数的假设下,证明了非负广义解的存在性和不存在性。
This paper discusses the Cauchy problem of the equation ut=∇·(& verbar; um& verbar;p-2∇ um)-uqwith initial datum a measure. Under the assumption of the parameters, one proves the existence and non-existence of the non-negative generalized solution.