Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds

Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds
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DOI:
10.1016/0022-1236(88)90062-6
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发表时间:
1988-09
影响因子:
1.7
通讯作者:
E. Davies
E. Davies
中科院分区:
数学1区
文献类型:
--
作者:
E. Davies

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我们描述了一种方法,获得高斯上界的热核,统一和改善最近的结果,亚椭圆算子的发散形式,并为拉普拉斯-贝尔特拉米算子在完整的黎曼流形。
We describe a method of obtaining Gaussian upper bounds on heat kernels which unifies and improves recent results for hypoelliptic operators in divergence form, and for Laplace-Beltrami operators on complete Riemannian manifolds.