对称局部狄利克雷空间的 Widder 表示定理
概率论
2017-06-27 v3
摘要
在经典偏微分方程理论中，Widder 定理给出了 上热方程非负解的一个表示。我们证明，对于满足局部抛物型 Harnack 不等式的对称局部狄利克雷空间上的典范“热方程”的局部弱解，类似的定理也成立。
引用
@article{arxiv.1204.1926,
title = {Widder's representation theorem for symmetric local Dirichlet spaces},
author = {Nathaniel Eldredge and Laurent Saloff-Coste},
journal= {arXiv preprint arXiv:1204.1926},
year = {2017}
}
备注
33 pages, to appear in Journal of Theoretical Probability. This version incorporates all revisions made during the peer review process and is intended to be equivalent to the published version (though formatting, theorem numbering, etc, will differ)