Growth of heat trace and heat content asymptotic coefficients

Details Growth of heat trace and heat content asymptotic coefficients Growth of heat trace and heat content asymptotic coefficients

2011-05-09

arxiv.org/abs/1105.1762v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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