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

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Publication:1010961
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zbMath1173.35513MaRDI QIDQ1010961

Ugur G. Abdulla

Publication date: 7 April 2009

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

heat equationunbounded domainsmetric compactification of \(\mathbb R^{N+1}\)PWB solutionthermal capacityWiener's criterionparabolic measureparabolic Dirichlet problemregularity (or irregularity) ofsuper- or subtemperatures


Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Brownian motion (60J65) Heat equation (35K05)


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Removability of the logarithmic singularity for the elliptic PDEs with measurable coefficients and its consequences



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