月曜解析セミナー:Essential self-adjointness of Laplacians and multiparameter processes

開催日時
2017年   2月 13日 16時 30分 ~ 2016年   13日 18時 00分
場所
北海道大学理学部3号館210
講演者
Michael Hinz (Bielefeld University)
 
It is well known that if one removes a closed set from a complete Riemannian manifold, the Markov uniqueness of the Laplacian with smooth functions, compactly supported in the complement of that set, can be characterized using 1-capacities and hitting probabilities of Brownian motion. We study analogous characterizations for essential self-adjointness, then in terms of 2-capacities and, in cases we can treat, multiparameter processes. We also discuss related results for fractional Laplacians. The presented results are joint work in progress with Jun Masamune.

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研究集会・セミナー・集中講義の一覧へ