Comparison of Green Functions and Harmonic Measures for Parabolic Operators
Comparison of Green Functions and Harmonic Measures for Parabolic Operators
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DOI：
10.1007/s11118-005-2606-6
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发表时间：
2005-12
影响因子：
1.1
通讯作者：
L. Riahi
中科院分区：
文献类型：
--
作者：
L. Riahi
本文证明了具有奇异一阶项的抛物型算子在Ω上的格林函数的双边逐点估计。基于这些估计，我们建立了Ω的侧边界上的抛物测度、伴随抛物测度和曲面测度的等价性。这些结果首先由一些作者对某些椭圆型和不太一般的抛物型算子进行了研究。
In this paper, we prove two-sided pointwise estimates for the Green function of a parabolic operator with singular first order term on aC1,1-cylindrical domain Ω. Basing on these estimates, we establish the equivalence of the parabolic measure, the adjoint parabolic measure and the surface measure on the lateral boundary of Ω. These results are first studied by some authors for certain elliptic and less general parabolic operators.