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math.SP2011
Survival probability (heat content) and the lowest eigenvalue of Dirichlet Laplacian
P. Kalinay, L. Samaj, I. Travenec
We study the survival probability of a particle diffusing in a two-dimensional domain, bounded by a smooth absorbing boundary. The short-time expansion of this quantity depends on…
math.SP2011★ 2 cited
High orders of Weyl series for the heat content
Igor Travenec, Ladislav Samaj
This article concerns the Weyl series of spectral functions associated with the Dirichlet Laplacian in a -dimensional domain with a smooth boundary. In the case of the heat kern…