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2008, Volume 15: 44-51. Doi: 10.3934/era.2008.15.44

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Wiener's criterion at $\infty$ for the heat equation and its measure-theoretical counterpart

Ugur G. Abdulla

Published: December 2007

Abstract Related Papers Cited by

Keywords:

parabolic Dirichlet problem,
heat equation,
metric compactification of $\Bbb{R}^{N+1}$,
regularity (or irregularity) of $\infty$,
parabolic measure,
unbounded domains,
PWB solution,
super- or subtemperatures,
thermal capacity,
Wiener's criterion.

Mathematics Subject Classification: Primary 35K05, 60J65.

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