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Growth of heat trace and heat content asymptotic coefficients

By M. van den Berg, Peter Gilkey and K. Kirsten


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

Topics: Mathematics - Analysis of PDEs, 35K20, 35P99, 58J25, 58J50
Year: 2011
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