In:
Journal für die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter GmbH, Vol. 2015, No. 708 ( 2015-11-1), p. 73-95
Abstract:
Large time behaviour of heat semigroups (and, more generally, of positive selfadjoint semigroups) is studied. Convergence of the semigroup to the ground state and of averaged logarithms of kernels to the ground state energy is shown in the general framework of positivity improving selfadjoint semigroups. This framework encompasses all irreducible semigroups coming from Dirichlet forms as well as suitable perturbations thereof. It includes, in particular, Laplacians on connected manifolds, metric graphs and discrete graphs.
Type of Medium:
Online Resource
ISSN:
0075-4102
,
1435-5345
DOI:
10.1515/crelle-2013-0070
Language:
English
Publisher:
Walter de Gruyter GmbH
Publication Date:
2015
detail.hit.zdb_id:
2193867-2
detail.hit.zdb_id:
1468592-9
detail.hit.zdb_id:
3079-X
SSG:
17,1
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