Some Remarks on Widder’s Theorem and Uniqueness of Isolated Singularities for Parabolic Equations

Some Remarks on Widder’s Theorem and Uniqueness of Isolated Singularities for Parabolic Equations
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关于Widder定理和抛物方程孤立奇点唯一性的一些评论

DOI:
10.1007/978-1-4612-2898-1_2
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发表时间:
1992
期刊:
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影响因子:
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通讯作者:
J. C. Taylor
J. C. Taylor
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文献类型:
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作者:
A. Ancona;J. C. Taylor

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本文给出了抛物型微分方程Lu=ut的Widder定理和孤立奇点唯一性的初等证明。它同样适用于保持器连续、发散形式或Hörmander型的算子L。
An elementary proof is given of Widder’s Theorem and of the uniqueness of isolated singularities for parabolic differential equations Lu=ut. It applies equally well to operators L that are Holder continuous, in divergence form, or of Hörmander type.