Growth of heat trace and heat content asymptotic coefficients

M van den Berg, P. Gilkey, K. Kirsten

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

Abstract

We show in the smooth category that the heat trace asymptotics and the heat content asymptotics can be made to grow arbitrarily rapidly. In the real analytic context, however, this is not true and we establish universal bounds on their growth.
Translated title of the contributionGrowth of heat trace and heat content asymptotic coefficients
Original languageEnglish
Pages (from-to)2293 - 2322
Number of pages30
JournalJournal of Functional analysis
Volume261
Issue number8
DOIs
Publication statusPublished - 15 Oct 2011

Bibliographical note

Publisher: Elsevier

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